Trent University
Stefan's First-Year Calculus Archive Page
This page archives various materials, including many assignments, quizzes, tests, and exams, and solutions to these, from first-year calculus courses taught by Stefan at Trent University.
A little history first. The main first-year calculus course at Trent when I started was Mathematics 110, later renumbered as 1100Y, with a variant that had more lecture hours numbered as 1101Y. 1100Y/1101Y was eventually split up into two half-courses, 1110H and 1120H. In the 2025-2026 academic year, these acquired variants numbered 1111H and 1121H, aimed at students in mathematics and physics, and 1122H, aimed at students in chemistry and biochemistry. Their descriptions as of the 2025-2026 Academic Calendar are:
- Mathematics 1110H Calculus 1: Limits, Derivatives, and Integrals
Limits, differentiation, and integration through to integration by parts, with applications to other areas of mathematics and the physical and social sciences.
Prerequisite: Grade 12U Advanced Functions or equivalent with at least 60%.
Strongly Recommended: Grade 12U Calculus and Vectors or equivalent.
Not open to students enrolled in or with credit for MATH 1005H, 1006H, or 1111H.
- Mathematics 1111H Calculus 1
Limits, differentiation, and single variable integration, with applications to other areas of mathematics and physics. Designed for majors in Mathematics and Physics, or other qualified students.
Prerequisite: Grade 12U Calculus and Vectors or equivalent with at least 80%.
Not open to students enrolled in or with credit for MATH 1005H, 1006H, or 1110H.
- Mathematics 1120H Calculus 2: Integrals and Series
Techniques and applications of integration, sequences, series, and power series, with applications to other areas of mathematics and the physical and social sciences.
Prerequisite: MATH 1110H.
Not open to students enrolled in or with credit for MATH 1005H, 1006H, 1121H, or 1122H except by permission of the department.
- Mathematics 1121H Calculus 2
Techniques and applications of integration, sequences, series, and power series, with applications to other areas of mathematics and the physical and social sciences. Designed for majors in Mathematics and Physics, or other qualified students.
Prerequisite: A pass in MATH 1111H or at least 80% in MATH 1110H.
Not open to students enrolled in or with credit for MATH 1005H, 1006H, 1120H, or 1122H except by permission of the department.
- Mathematics 1122H Calculus 2 for Chemistry
Techniques and applications of integration and differentiation for single and multiple variable contexts, with applications to the chemical sciences. Designed for majors in Chemistry and Biochemistry & Molecular Biology, and as a terminal course.
Prerequisite: MATH 1110H or 1111H.
Not open to students enrolled in or with credit for MATH 1005H, 1006H, 1120H, or 1121H except by permission of the department.
As of the 2025-2026 academic year inclusive, I have not taught MATH 1111H or MATH 1122H.
Some useful general tips for first-year mathematics students are given in the pamphlet Enjoying Math! (pdf).
No doubt but magic may do much in this;
For he that reads but mathematic rules
Shall find conclusions that avail to work
Wonders that pass the common sense of men.
Robert Greene (from Friar Bacon and Friar Bungay)
The Archive
MATH 1121H- Calculus 2, Winter 2026
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Fall 2025
- Course information:
- The textbook: Single Variable Calculus (Early Transcendentals), by David Guichard.
May be downloaded for free from www.whitman.edu/mathematics/multivariable/ or locally.
Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License.
- Suggested Homework Exercises from the textbook.
- A supplement of sorts: Calculus Made Easy (Second Edition), by Silvanus Thompson, 1914. The title is surprisingly accurate, even today.
- Handouts:
- Two useful pamphlets originally published by Academic Skills:
... and their current successor, the Math Basics series.
- SageMath resources:
- SageMath Labs, by Maya Peters:
- Student lecture notes by Anonymous Cubed and Mason Grondin:
- Workshop Problems:
- Assignment # 1,
2,
3,
π,
4,
5,
π+e,
and Solutions to Assignment # 1,
2,
3,
4,
5.
- Test #
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
and Solutions to Test #
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- F01 & CAT,
F02 & F04,
F03 & F05
- Final Examination and Solutions to the Final Examination
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Summer 2025 (S62)
- Course information:
- The textbook: Single Variable Calculus (Early Transcendentals), by David Guichard.
May be downloaded for free from www.whitman.edu/mathematics/multivariable/ or locally.
Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License.
- Suggested Homework Exercises from the textbook.
- A supplement of sorts: Calculus Made Easy (Second Edition), by Silvanus Thompson, 1914. The title is surprisingly accurate, even today.
- Handouts:
- Two useful pamphlets originally published by Academic Skills:
... and their current successor, the Math Basics series.
- SageMath resources:
- Assignment # 0,
1,
2,
3,
4,
5,
and Solutions to Assignment #
0,
1,
2,
3,
4,
5
- Quiz # 0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
and Solutions to Quiz #
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
- Test and Solutions to the Test
- Final Examination and Solutions to the Final Examination
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Fall 2024
- Course information:
- Textbook and Supplementary Materials:
- Assignment # 1,
2,
3,
π,
4,
5,
6,
and Solutions to Assignment #
1,
2,
3,
4,
5,
6
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
- Test and Solutions to the Test
- Final Examination and Solutions to the Final Examination
MATH 1120H - Calculus II: Integrals and Series, Winter 2024
- Course information:
- Textbook and Supplementary Materials:
- Assignment # 1,
2,
3,
4,
5,
2e.
π+e,
6,
7,
8,
9,
10,
11,
and Solutions to Assignment #
1,
2,
3,
4,
5,
6,
π+e,
7,
8,
9,
10,
11.
- Final Examination and Solutions to the Final Examination.
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Fall 2023
- Course information:
- Textbook and Supplementary Materials:
- Assignment # 1,
2,
3,
π,
4,
5,
6,
and Solutions to Assignment #
1,
2,
3,
4,
5,
6
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
- Test and Solutions to the Test
- Final Examination and Solutions to the Final Examination
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Summer 2023
- Course information:
- Textbook and Supplementary Materials:
- Assignment # 1,
2,
3,
4,
5,
6,
and Solutions to Assignment #
1,
2,
3,
4,
5
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
- Test and Solutions to the Test
- Final Examination and Solutions to the Final Examination
- Lectures
- 2023-05-03
Part a - Organizational, mainly going over the course outline.
Part b - Some basics, including Cartesian coordinates and trigonometric functions
Part c - Continuity, limits, and the epsilon-delta definition thereof.
- 2023-05-08
Part a - We practiced some epsilonics and looked at some of the different ways that limits could fail to exist.
Part b - We considered limits as x went to infinity, the Squeeze Theorem, and certain special limits needed to compute a few particular derivatives.
Part c - We defined derivatives in terms of limits, did a couple of examples, and gave the Power and Sum Rules for derivatives.
- 2023-05-10
Part a - We reviewed the limit definition of the derivative, and used it to get some common derivatives.
Part b - We looked at the Sum and Product Rules for derivatives.
Part c - We worked out the Quotient Rule for derivatives.
- 2023-05-15
Part a - We briefly reviewed the differentiation rules we had already done and then moved on to the Chain Rule.
Part b - We looked at inverse functions and computing their derivatives.
Part c - We worked out the derivatives of two more inverse functions.
- 2023-05-17<
Part a - We practiced the Chain Rule a bit more and got started on implicit differentiation.
Part b - We did a bit more with implicit differentiation and then moved on to l'Hopital's Rule.
Part c - We finished off the awful example that we ended the previous lecture part on.
- 2023-05-24
Part a - We stated Rolle's Theorem, the Mean Value Theorem, and Fermat's Theorem, and then got started on using derivatives and other tricks to find the local maxima and minima of a function.
Part b - We worked through some examples of finding maxima and minima.
Part c - We started on using calculus and such to do qualitative analysis of the graph of a function, i.e. "curve sketching".
- 2023-05-29
Part a - We added curvature (i.e. intervals of concavity and inflection points) to our qualitative analysis/curve sketching checklist and worked through a longish example.
Part b - We did a couple of related rates problems.
- 2023-05-31
Part a - We did one more example of a related rates problem.
Part b - We looked at defining definite integrals and computed a simple one at great length using the Right-Hand Rule.
Part c - We looked at properties of the definite integral, stated two forms of the Fundamental Theorem of Calculus, and started on properties of indefinite integrals.
- 2023-06-05
Part a - We did a quick recap of integration so far and then got started on the basic Substitution Rule for integration.
Part b - We worked through a number of examples of the Substitution Rule, interrupted by losing most of the lights for a couple of minutes...
Part c - ... and resumed the previous segment once the lights came on again.
Part d - We started on a couple of applications of integrations, finding areas and volumes.
- 2023-06-07
Part a - We looked at the technique of integration by parts for indefinite integrals.
Part b - We did some more with integration by parts.
- 2023-06-12
Part a - We looked at computing volumes of solids by integrating the areas of their cross-sections.
Part b - We worked through some examples of the disk/washer method for computing the volumes of solids of revolution.
Part c - We took a brief look at the method of cylindrical shells for computing the volumes of solids of revolution, followed by a brief discussion of the structure and possible content of the exam.
MATH 1120H - Calculus II: Integrals and Series, Winter 2022:
- Course information:
- Textbook and Supplementary Materials:
- Assignment # 1,
2,
3,
4,
5,
π+e,
6,
7,
8,
9,
10,
11
and Solutions to Assignment #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
- Final Examination and Solutions to the Final Examination,
and the Alternate (Take-Home) Final Examination (written by those unable to attend the the Final Examination in person). Solutions to the Alternate Final Examination will probably not get posted after all due to other commitments.
- Lectures and Notes (webm and pdf formats)
Notes from 2022-02-01 on mostly by Megan Dyck and Caden Drover. Thanks to both!
- The Definite Integral -
video and
notes
Handout: A Precise Definition of the Definite Integral
- The Fundamental Theorem of Calculus -
video and
notes
- The (Basic) Substitution Rule -
video and
notes
Handout: The Basic Substitution Rule
- Integration by Parts -
video and
notes
- Integration by Parts II -
video and
notes
- Integration by Parts III -
video and
notes
Handout: Integration by Parts
- Integrating Trigonometric Functions -
video and
notes
- Integrating Trigonometric Functions II -
video and
notes
- Trigonometric Substitutions -
video and
notes
Handout: Trigonometric Integrals and Substitutions - A Brief Summary
- Trigonometric Substitutions II -
video,
Megan's notes and Caden's notes
- Trigonometric Substitutions III -
video,
Megan's notes and Caden's notes
- Integrating Rational Functions -
video,
Megan's notes and Caden's notes
- Integrating Rational Functions II -
video,
Megan's notes and Caden's notes
- Integrating Rational Functions III -
video,
Megan's notes and Caden's notes
- Improper Integrals -
video,
Megan's notes and Caden's notes
- Areas and Volumes -
video and
notes
- Volumes of Solids of Revolution -
video and
notes
- Arc-Length -
video and
notes
- Arc-Length, Volume, and Surface Area -
video,
Megan's notes and Caden's notes
- Arc-Length, Volume, and Surface Area II -
video,
Megan's notes and Caden's notes
- Sequences -
video,
Megan's notes and Caden's notes
- Series - Definitions and Examples -
video,
Megan's notes and Caden's notes
- Series II - Divergence and Integral Tests -
video,
Megan's notes and Caden's notes
- Series III - A Hard Example -
video,
Megan's notes and Caden's notes
- Series IV - The p-Test and the Comparison Tests -
video,
Megan's notes and Caden's notes
- Series V - The Generalized p-Test -
video,
Megan's notes and Caden's notes
- Series VI - The Alternating Series Test and Absolute vs. Conditional Convergence -
video,
Megan's notes and Caden's notes
- Series VII - Conditional Convergence and the Ratio Test -
video,
Megan's notes and Caden's notes
- Series VIII - The Root Test -
video,
Megan's notes and Caden's notes
- Power Series -
video,
Megan's notes and Caden's notes
- Taylor Series -
video,
Megan's notes and Caden's notes
- Taylor Series II -
video,
Megan's notes and Caden's notes
- Taylor Series III -
video,
Megan's notes and Caden's notes
- Taylor Series IV -
video,
Megan's notes and Caden's notes
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Section C, Fall 2021:
- Course Information
- Textbook and Supplementary Materials
- Assignment #
1,
2,
3,
π,
4,
5,
6
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
- Take-Home Final Examination
and Solutions to the Take-Home Final Examination
- Lectures and Notes [Mostly the same as Fall 2020.]
- Background -
video,
notes
- Limits -
video,
notes
and Limits - an alternate definition -
video,
notes
- Limits II - non-limits and limits to infinity -
video,
notes
- Limits III - practical rules for computing limits -
video,
notes
- Limits IV - examples of computing limits -
video,
notes
- Limits V - two special limits and a theorem -
video,
notes
- Derivatives - the limit definition -
video,
notes
- Derivatives II - rules and examples -
video,
notes
- Derivatives III - the Chain Rule -
video,
notes
- Derivatives IV - examples -
video,
notes
- Derivatives V - implicit differentiation -
video,
notes
- Derivatives VI - l'Hopital's Rule -
video,
notes
- Asymptotes - vertical and horizontal -
video,
notes
- Asymptotes II - some more examples -
video,
notes
- Maxima and Minima - some basics -
video,
notes
- Maxima and Minima II - examples -
video,
notes
- Maxima and Minima III - general procedure -
video,
notes
- Curve Sketching, i.e. Qualitative Analysis -
video,
notes
- Curve Sketching II - checklist and example -
video,
notes
- Curve Sketching III - example -
video,
notes
- Optimization - applied max/min by example -
video,
notes
- Optimization II - a distance problem -
video,
notes
- Related Rates -
video,
notes
- Related Rates II - Three dimensions home -
video,
notes
- Related Rates III - Two examples involving angles - video,
notes
- Two More Applications - Newton's Method and Average Values -
video,
notes
- The Definite Integral - an informal look -
video,
notes
Supplementary handout: A Precise Definition of the Definite Integral
- The Fundamental Theorem of Calculus -
video,
notes
- Examples of Substitution -
video,
notes
The Basic Substitution Rule - A handout with another take on substitution.
- Examples of Substitution II -
video,
notes
- Examples of Substitution III -
video,
notes
- Areas Between Curves -
video,
notes
- Integration by Parts -
video,
notes
- Integration by Parts II -
video,
notes
Integration by Parts - A handout with another take on integration by parts.
- Integration by Parts III -
video,
notes
An Integral Tale - A handout with the story of working through a difficult integral.
Trigonometric Identities and Integrals - A summary of the most common trigonometric identities and integral reduction formulas.
- Volumes -
video,
notes
- Volumes II - Solids of Revolution -
video,
notes
- Why the standard normal density is a valid density (Just for fun! Not on exam!) -
video,
notes
MATH 1120H - Calculus II: Integrals and Series, Summer 2021:
- Course information:
- General advice and information:
- Some useful advice for surviving university math courses: Enjoying Math!
- Two useful pamphlets from Academic Skills:
Assignment # 1,
2,
3,
4,
5,
π
Solutions to Assignment #
1,
2,
3,
4,
5
Quiz # 1,
2,
3,
4,
5,
6
Solutions to Quiz #
1,
2,
3,
4,
5,
6
Final Examination and Solutions to the Final Examination
Lectures and Notes
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Winter 2021:
- Course Information
- Textbook and Supplementary Materials
- Maple and similar software
Two alternatives to Maple:
- Work and Solutions
- Assignment # 1,
2,
3,
π,
4,
5,
6
and Solutions to Assignment #
1,
2,
3,
4
and Maple worksheets for Assignment #
1,
2,
3,
4
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
- Final Examination
and Solutions to the Final Examination
- Lectures and Notes [Mostly the same as Fall 2020.]
- Introduction to Maple -
video,
Maple worksheet,
worksheet (pdf)
- Background -
video,
notes
- Limits -
video,
notes
- Limits - an alternate ε-δ definition -
video,
notes
- Limits II - non-limits and limits to infinity -
video,
notes
- Limits III - practical rules for computing limits -
video,
notes
- Limits IV - examples of computing limits -
video,
notes
- Limits V - two special limits and a theorem -
video,
notes
- Derivatives - the limit definition -
video,
notes
- Derivatives II - rules and examples -
video,
notes
- Derivatives III - the Chain Rule -
video,
notes
- Derivatives IV - examples -
video,
notes
- Derivatives V - implicit differentiation -
video,
notes
- Derivatives VI - l'Hopital's Rule -
video,
notes
- Asymptotes - vertical and horizontal -
video,
notes
- Asymptotes II - some more examples -
video,
notes
- Maxima and Minima - some basics -
video,
notes
- Maxima and Minima II - examples -
video,
notes
- Maxima and Minima III - method & example -
video,
notes
- Curve Sketching, i.e. Qualitative Analysis -
video,
notes
- Curve Sketching II - checklist and example -
video,
notes
- Curve Sketching III - example -
video,
notes
- Optimization - applied max/min by example -
video,
notes
- Optimization II - a distance problem -
video,
notes
- Related Rates -
video,
notes
- Related Rates II - Three dimensions home -
video,
notes
- Related Rates III - Twice more, with angles -
video,
notes
- Two more applications -
video,
notes
- The Definite Integral - an informal look -
video,
notes
Supplementary handout: A Precise Definition of the Definite Integral
- The Fundamental Theorem of Calculus -
video,
notes
- Examples of Substitution -
video,
notes
- Examples of Substitution II -
video,
notes
- Areas Between Curves -
video,
notes
- Integration by Parts -
video,
notes
- Integration by Parts II -
video,
notes
- Volumes -
video,
notes
- Volumes II - Solids of Revolution -
video,
notes
- Why the standard normal density is a valid density (Just for fun! Not on exam!) -
video,
notes
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Section A, Fall 2020:
- Course information:
- General advice and information:
- Some useful advice for surviving university math courses: Enjoying Math!
- Two useful pamphlets from Academic Skills:
- Dale Landry's Calculus Aid Sheet
Thanks to Dale for permission to post his MATH 1120H aid sheet. It's overkill for MATH 1110H... :-)
- Maple (and other software) information:
Thanks to Prof. Urroz for permission to post and use the above documents!
Two alternatives to Maple:
- Lectures and notes:
- Background - video, notes
- Limits - video, notes
- Limits II - non-limits and limits to infinity - video, notes
- Limits III - practical rules for computing limits - video, notes
- Limits IV - examples of computing limits - video, notes
- Limits V - two special limits and a theorem - video, notes
- Derivatives - The limit definition - video, notes
- Derivatives II - Rules and examples - video, notes
- Derivatives III - The Chain Rule - video, notes
- Derivatives IV - Examples building up a library of derivatives - video, notes
- Derivatives V - Implicit differentiation by example - video, notes
- Derivatives VI - l'Hopital's Rule - video, notes
- Asymptotes - Vertical and horizontal - video, notes
- Asymptotes II - Some more examples - video, notes
- Maxima and Minima - Some basics - video, notes
- Maxima and Minima II - Examples - video, notes
- Maxima and Minima III - A general procedure - video, notes
- Curve Sketching - video, notes
- Curve Sketching II - video, notes
- Curve Sketching III - video, notes
- Introduction to Maple -
video,
Maple worksheet,
worksheet (pdf)
- Optimization -
video,
notes
- Optimization II -
video,
notes
- Related Rates -
video,
notes
- Related Rates II - Three dimensions home -
video,
notes
- Related Rates III - Twice more, with angles -
video,
notes
- Two more applications -
video,
notes
- The Definite Integral - an informal look -
video,
notes
Supplementary handout: A Precise Definition of the Definite Integral
- The Fundamental Theorem of Calculus -
video,
notes
- Examples of Substitution -
video,
notes
- Examples of Substitution II -
video,
notes
- Areas Between Curves -
video,
notes
- Integration by Parts -
video,
notes
- Integration by Parts II -
video,
notes
- Volumes -
video,
notes
- Volumes II - Solids of Revolution -
video,
notes
- Why the standard normal density is a valid density (Just for fun! Not on exam!) -
video,
notes
- Assignment # 1,
2,
3,
π,
4,
5 [corrected],
6
and Solutions to Assignment #
1,
2,
3,
4,
5,
6.
- Quiz # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
and Solutions to Quiz #
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11.
- Take-Home Final Examination and Solutions to the Take-Home Final Examination.
MATH 1120H - Calculus II: Integrals and Series, Summer 2020:
- Course information:
- General advice and information:
- Lectures and Notes:
- Definite Integrals: Video, Notes
A quick review of the basics of definite integrals and the Fundamental Theorem of Calculus.
- Substitution Video, Notes
A review of the basic Substitution Rule.
- Integration by Parts: Video, Notes
- Trigonometric Integrals: Video, Notes
- Trigonometric Substitutions: Video, Notes
- Partial Fractions, Part I: Video, Notes
- Partial Fractions, Part II: Video, Notes
- Improper Integrals: Video, Notes
- Applications, Part I: Video, Notes
Average value, area, volume, and arc-length.
- Applications, Part II: Video, Notes
Volumes of solids of revolutions and areas of surfaces of revolution.
- Sequences: Video, Notes
Sequences and their limits.
- The Basics of Series: Video, Notes
Summing sequences, partial sums, and convergence.
- Integral Test and the p-Tests: Video, Notes
- Alternating Series Test: Video, Notes
The Alternating Series Test and absolute vs. conditional convergence.
- Comparison Tests: Video, Notes
The (Basic) Comparison Test and the Limit Comparison Test.
- Ratio and Root Tests: Video, Notes
- Power Series: Video, Notes
Power series and the radius and interval of convergence of power series.
- Taylor Series: Video, Notes
Taylor Series and Taylor's formula.
- Why the standard normal density is a valid density, or
Behold the power of fully operational multivariate calculus! (Just for fun!)
Video, Notes
- Additional notes on various topics:
- Assignment # 1,
2,
3,
4,
5,
and Solutions to Assignment #
1,
2,
3,
4,
5.
- Quiz # 1,
2,
3,
4,
5,
6,
and Solutions to Quiz #
1,
2,
3,
4,
5,
6.
- Final Exam and Solutions to the Final Exam.
MATH 1120H - Calculus II: Integrals and Series, Winter 2020:
- Course information:
- General advice and information:
- Supplementary readings:
- Assignment # 1,
2,
3,
4,
5,
5.1,
6,
9.75
and the Solutions to Assignment #
1,
2,
3,
4,
5.1,
6
- Quizzes and Solutions to the Quizzes
- Test and Solutions to the Test
- Final Exam and Solutions to the Final Exam
MATH 1110H - Calculus I: Limits, Derivatives, and Integrals, Section A, Fall 2019:
MATH 1120H, Winter 2019:
- Course information:
- General advice and information:
- Assignment # 1,
2,
3,
π,
4,
5,
6
and Solutions to Assignment # 1,
2,
3,
4,
5,
6
- Quizzes and Solutions to the Quizzes
- Test and
Test Solutions
- Final Exam and
Solutions to the Final Exam
MATH 1110H, Fall 2018 (pdf):
- Course information:
- General advice and information:
- Maple information:
Thanks to Prof. Urroz and our Maple TA, Francis Quinby, for permission to use the above documents!
- Assignment # 0,
1,
2,
3,
4,
5,
2e,
6,
7,
8,
9,
10,
11,
and Solutions to Assignment # 0,
1,
2,
3,
4,
5,
6,
7,
8
- Test and Solutions to the Test
- Final Exam and Solutions to the Final Exam
MATH 1120H, Summer 2018 (pdf):
MATH 1110H, Summer 2018 (pdf):
Older stuff
- Single-variable Calculus Problems (and some solutions, too!) [pdf, ~5.1mb], by Stefan Bilaniuk.
This is a compilation of a lot of quizzes, tests, and exams, and many of their solutions, from first-year calculus courses I taught over a decade or so. Typos and other errors have been lovingly preserved! You can also find all these items individually, plus a lot of assignments and many of their solutions, plus material from more recent courses, below.
- MATH 1101Y, 2013-2014
- Quizzes and Solutions to the Quizzes
- Assignment # 1,
2,
e,
3,
π,
4,
5,
♥,
6
and Solutions to Assignment #
1,
2,
5,
♥
- Test 1,
2
and Solutions to Test
1,
2
- Final Exam Max-imum Fun, the Final Exam proper, and the Solutions to the Final Exam
- MATH 1100Y, 2012-2013
- Assignment # 1,
2,
3,
π,
4,
5,
γ,
6
and Solutions to Assignment # 1,
2,
3,
4
- Quizzes and Solutions to the Quizzes
- Tests 1 & 2 and Solutions to Tests 1 & 2
- Final Exam and the Solutions to the Final Exam
- MATH 1100Y, Summer 2012
- Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
and Solutions to Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10
- Quizzes and
Solutions to the Quizzes
- Tests 1 & 2 and Solutions to Tests 1 & 2
- Final Exam and the Solutions to the Final Exam
- MATH 1101Y, 2011-2012
- Assignment # 1,
2,
3,
π,
4,
5,
2e,
6
Solutions to Assignment # 1,
2,
3,
4,
5
- Quizzes and Solutions to the Quizzes
- Tests 1 & 2 and Solutions to Tests 1 & 2
- Final Exam and the Solutions to the Final Exam
- MATH 1100Y, Summer 2011
- Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12
Solutions to Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
- Quizzes and Quiz Solutions
Take-Home Quiz and Take-Home Quiz Solution
- Tests 1 and 2 and Solutions to Tests 1 and 2
- Final Exam and the Solutions to the Final Exam
- MATH 1101Y, 2010-2011
- Assignment # 1,
2,
3,
4,
5,
6,
2π,
7,
8,
9,
10,
11,
12,
4π
Solutions to Assignment # 1,
2,
3,
4,
5,
6,
10
- Quizzes and Quiz Solutions
- Tests 1 and 2 and Solutions to Tests 1 and 2
- Final Exam and the Solutions to the Final Exam
- David Merritt, a MATH 1101Y student who uses his laptop to take notes, has kindly agreed to share them:
Epsilon-Delta Definition of Limits
Week 1,
2,
3,
7,
8,
9,
10,
11
Thanks, David!
Note that these notes are not complete and may have errors. (In particular, they preserve the errors made by the instructor...) You will need a fairly recent version of Microsoft Word to read them.
- MATH 1100Y, Summer 2010
- Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11
Solutions to Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9
- Quizzes and Quiz Solutions
- Test 1,
2
and Solutions to Test
1,
2
- Final Exam and the Solutions to the Final Exam
- MATH 1100Y, 2009-2010
- Assignments & Solutions: 1,
2,
3,
4
- Quizzes & Solutions: 1a,
1b,
2a,
2b,
3a,
3b,
4a,
4b,
5a,
5b,
6a,
6b,
7a,
7b,
8a,
8b,
9a,
9b,
10a,
10b,
11a,
11b,
12a,
12b,
13a,
13b,
14a,
14b,
15a,
15b,
16a,
16b,
17a,
17b,
18a,
18b,
- Test Solutions: 1,
2
- Final Exam Solutions
- MATH 1101Y, 2009-2010
- Assignments & Solutions: 1,
2,
3,
4
- Quizzes & Solutions: 1a,
1b,
2a,
2b,
3a,
3b,
4a,
4b,
5a,
5b,
6a,
6b,
7a,
7b,
8a,
8b,
9a,
9b,
10a,
10b,
11a,
11b,
12a,
12b,
13a,
13b,
14a,
14b,
15a,
15b,
16a,
16b,
17a,
17b,
18a,
18b,
19a,
19b
- Test Solutions: 1,
2
- MATH 1100Y (Section A), 2008-2009
- MATH 110, 2003-2004
- Second Annual Equation Limerick Competition
(pdf)
- Assignment # 1,
2,
3,
4,
5,
6
(pdf: 1,
2,
3,
4,
5,
6)
Solutions to Assignment # 1,
2,
3,
4,
5
(pdf: 1,
2,
3,
4,
5)
Matt Connell's solution to Assignment #3.
- §A Quizzes
(pdf) and
Solutions
(pdf)
- §A Test # 1,
2
(pdf: 1,
2)
Solutions to §A Test # 1,
2
(pdf: 1,
2)
- §B Review exercises
(pdf)
- §A Final Exam (pdf)
- MATH 110, 2002-2003
- Equation Limerick Competition
- Assignment # 1
2
3
4
5
6
7
8
9
10
- Quizzes & Solutions:
- Tests:
- Final Exam:
MATH 110, 2001-2002
Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
Bonus
- Solutions to Assignment # 1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
Bonus
Quizzes
Test 1,
2
Final Exam
MATH 110, 1999-2000
Assignment 1
Quizzes (with solutions) 1,
2,
3,
4,
5,
6,
7,
8
Test 1
MATH 110, 1998-1999
Assignment 1,
2,
3,
4,
5,
6,
7,
8,
9,
10
Quizzes
Test 1,
2
Final Exam
MATH 110, 1997-1998
Assignment 1,
2,
3,
4,
5,
6,
7,
8,
9,
10
Quizzes
Test 1,
2
Final Exam
MATH 110, 1996-1997
MATH 110, 1993-1994
MATH 110, 1992-1993
MATH 110, 1991-1992
There is fair bit of material available online about calculus; a brief selection follows:
Some calculus notes and texts available online
Some other calculus references and resources online
Maintained by Stefan Bilaniuk. Last updated 2026-01-03.