Schedule


The numbers in the reading column refer to chapters in the course textbook

Stewart, Calculus: Early Transcendentals, volume 1, 8th edition, chapters 7-12.

It is important to read the sections before the associated class. I will post lecture notes in the slides column.

Lecture Date Topic Reading Slides
1 Jan 23 Introduction 7.1 .pdf
2 Jan 25 Integration by parts 7.1 .pdf
3 Jan 28 Trigonometric integrals 7.2 .pdf
4 Jan 30 Cancelled due to weather
5 Feb 1 Trigonometric substitution 7.3 .pdf
6 Feb 4 Integration of rational functions 7.4 .pdf
7 Feb 6 Approximate integration 7.7 .pdf
8 Feb 8 Improper integrals 7.8 .pdf
9 Feb 11 Arclength 8.1 .pdf
10 Feb 13 Area of a surface of revolution 8.2 .pdf
11 Feb 15 Applications to Physics and Engineering 8.3 .pdf
12 Feb 18 Modeling with differential equations 9.1 .pdf
13 Feb 20 Midterm I Review (Chapters 7 & 8) .pdf | Sol
Feb 21 Midterm I (in discussion section) Sol
14 Feb 22 Direction fields and Euler's method 9.2 .pdf
15 Feb 25 Separable equations 9.3 .pdf
16 Feb 27 Models for population growth 9.4 .pdf
17 Mar 1 Linear equations 9.5 .pdf
18 Mar 4 Predator-Prey system 9.6 .pdf | code
19 Mar 6 Curves defined by parametric equations 10.1 .pdf
20 Mar 8 Calculus with parametric curves 10.2 .pdf
21 Mar 11 Polar coordinates 10.3 .pdf
22 Mar 13 Areas and lengths in polar coordinates 10.4 .pdf
23 Mar 15 Conic sections (skipped) 10.5 .pdf
Mar 18 Spring Break (No class)
Mar 20 Spring Break (No class)
Mar 22 Spring Break (No class)
25 Mar 27 Midterm II Review (Chapters 9 & 10) .pdf | Sol
24 Mar 25 Sequences 11.1 .pdf
Mar 28 Midterm II (in discussion section) Sol
26 Mar 29 Series 11.2 .pdf
27 Apr 1 The integral test 11.3 .pdf
28 Apr 3 The comparison tests 11.4 .pdf
29 Apr 5 The comparison tests 11.4 .pdf
30 Apr 8 Alternating series 11.5 .pdf
31 Apr 10 Absolute convergence and ratio/root tests 11.6 .pdf
32 Apr 12 Absolute convergence and ratio/root tests 11.6 .pdf
33 Apr 15 Power series 11.8 .pdf
34 Apr 17 Representation of functions as power series 11.9 .pdf
35 Apr 19 Taylor and Maclaurin series 11.10 .pdf
36 Apr 22 Three-dimensional coordinate systems 12.1 .pdf
37 Apr 24 Midterm III Review (Chapter 11) .pdf | Sol
Apr 25 Midterm III (in discussion section) Sol
38 Apr 26 Vectors 12.2 .pdf
39 Apr 29 The dot product 12.3 .pdf
40 May 1 The cross product 12.4 .pdf
41 May 3 Equations of lines and planes 12.5 .pdf
42 May 6 Exam Review (Chapters 7--12) .pdf | Sol
May 9 Final Exam: 12pm--3pm, Anderson Hall 370 Formula Sheet