Trent University, Summer 2018

Mathematics 1110H

*Calculus I: Limits, Derivatives, and Integrals*

MATH 1110H is an introduction to the concepts and techniques of single-variable differential and some integral calculus, with some applications to other areas of mathematics and science.

**Prerequisite:** Grade 12U Advanced Functions or equivalent with at least 60%.

**Strongly Recommended:** Grade 12U Calculus and Vectors or equivalent.

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)

**MATH 1110H, Summer 2018** (pdf):

- Course information:
- MATH 1110H course outline
- The textbook: Single Variable Calculus (Early Transcendentals), by David Guichard. May be downloaded for free from
`communitycalculus.org`or locally.

Licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License. - Homework Exercises

- General advice and information:
`Maple`information:- A very quick start with
`Maple` - Getting started with
`Maple 10`by Gilberto E. Urroz - A survey of mathematical applications using
`Maple 10`by Gilberto E. Urroz

(as a`Maple 10`worksheet)

*Thanks to Prof. Urroz for permission to use the above documents!*- A very quick start with
- Suggested Homework Exercises for practice.
- Assignment # 1,
2,
3,
4,
5,
6

and Solutions to Assignment # 1, 2, 3 & 4 - Quizzes and Solutions to the Quizzes
- Test and Solutions to the Test
- Practice Final Exam

- 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****MATH 1100Y, 2012-2013****MATH 1100Y, Summer 2012****MATH 1101Y, 2011-2012****MATH 1100Y, Summer 2011****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.

- Assignment # 1,
2,
3,
4,
5,
6,
2π,
7,
8,
9,
10,
11,
12,
4π
**MATH 1100Y, Summer 2010****MATH 1100Y, 2009-2010****MATH 1101Y, 2009-2010****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****MATH 110, 2001-2002****MATH 110, 1999-2000****MATH 110, 1998-1999****MATH 110, 1997-1998****MATH 110, 1996-1997**- Test 1, 2
- Final Exam

**MATH 110, 1993-1994**- Test 2
- Final Exam

**MATH 110, 1992-1993**- Test 1, 2
- Final Exam

**MATH 110, 1991-1992**- Test 1, 2
- Final Exam

There is fair bit of material available online about calculus; a brief selection follows:

- The Calculus Bible by G. S. Gill
- Understanding Calculus by Faraz Hussain
- Elementary Calculus: An Approach Using Infinitesimals by H. Jerome Keisler
- Calculus by Gilbert Strang at MIT OpenCourseWare
- The mooculus textbook by Jim Fowler and Bart Snapp

- Calculus at The Math Forum
- Single Variable Calculus, Fall 2006 at MIT OpenCourseWare
- Calculus at Wikipedia
- Calculus at Wolfram MathWorld

Department of Mathematics Trent University

Maintained by Stefan Bilaniuk. Last updated 2018.06.11.