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## Lecture Notes

You will find in the tables below the lecture notes for each section of each chapter. You may print it and fill them out during lectures. If you have a tablet, you can bring your tablet and fill them out with your tablet.

The lecture notes are based on the book Calculus, 8th Edition by James Stewart. All the exercises suggested in the tables below will be found in this book.

### Pre-Calculus Prerequisites

For the first week of the semester, we will review important notions from precalculus. In the table below, you will find exercises that will help you prepare for the new material.

PreCalculus Preparation
Section Reading Textbook Sections PDF Exercises
Diagnosis Test A Appendix A and Review of Algebra. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Diagnosis Test B Appendixes B and C. 1, 2, 3, 4, 5.
Diagnosis Test C Sections 1.1, 1.2, 1.3. 1, 2, 3, 4, 5.
Diagnosis Test D Appendix D. 1, 2, 3, 4, 5, 6, 7, 8, 9.
1.1 9, 25, 27, 31, 35, 41, 47, 51, 54, 63.
1.2 3, 5, 6, 11, 13, 19.
1.3 3, 9, 11, 13, 15, 17, 19, 21, 31, 35.

### Chapter 1

In the first chapter, we will see the notion of limit and continuous functions.

The answers to the odd numbers are in the Appendix H of the textbook.

Chapter 1
Section No. Notes Annotated Exercises Solutions
1.4 4, 7, 8.
1.5 4, 16, 22, 30, 34, 38.
1.6 8, 12, 22, 26, 36, 42, 60.
1.8 18, 36, 56, 58(a).

### Chapter 2

In the second chapter, we will introduce the derivative of a function and see how it can be used in some optimization problems.

The answers to the odd numbers are in the Appendix H of the textbook.

Chapter 2
Section No. Notes Annotated Exercises Solutions
2.1 5, 6, 34, 44, 60.
2.2 12, 20, 25, 26, 28, 32, 40, 48,
2.3 2, 4, 18, 26, 30, 54, 58, 66, 72.
2.4 1, 3, 5, 9, 15.
2.5 8, 10, 11, 30.
2.6 12, 32.
2.7 6(a), 20(a).
2.8 6, 12, 16, 22.
2.9 4, 24.

### Chapter 3

In the third chapter, we will see more applications of the derivative. The first one will be related to drawing the graph of a function, finding maximum and minimum of functions, etc.

The answers to the odd numbers are in the Appendix H of the textbook.

Chapter 3
Section No. Document (PDF) Annotated Notes (PDF) Exercises Solutions
3.1 30, 34, 38, 50, 52, 54.
3.2 12, 20, 30.
3.3 10, 12, 16, 22, 30.
3.4 8, 12, 14, 16, 18, 21, 22, 30, 40, 46, 63.
3.5 10, 20.
3.7 2, 8, 14, 36, 74, 76.
3.8 6, 34.
3.9 2, 6, 12, 14, 16, 22, 24, 33.

### Chapter 4

In the fourth chapter, we will introduce the integral of a function. We will see how the integral of a function is related to the area under the graph of a positive function. We will also introduce the Fundamental Theorem of Calculus and how it can be used to compute the exact value of an integral.

The answers to the odd numbers are in the Appendix H of the textbook.

Chapter 4
Section No. Document (PDF) Annotated Notes (PDF) Exercises Solutions
4.1 4, 14(a), 14(b).
4.2 2, 6(c), 18, 22.
4.3 2(a), 2(c), 8, 10, 12, 14, 18, 20, 22, 28, 30, 34, 35, 38, 54, 60, 75.
4.4 5, 6, 10, 11, 14, 15, 18, 41, 58.
4.5 2, 4, 8, 10, 16, 20, 26, 30, 36, 38, 46.