Functions of one variable, limits, and continuity. The derivative and the definite integral with applications. Prereq: MATH 1101 or equiv. Equivalent is three to four years of college preparatory mathematics including topics listed in description of MATH 1101.
Lectures: 
M, W, F  11:00am  11:50am 
Cudahy 001  
Discussion Sections: 
Tu, Th  Various times 
Office Hours: 
Tuesday,  12:30pm  1:30pm 
Friday,  8:00am  9:00am  
and by appointment 
Help Desk: 
Weekly Schedule 
Mon, Aug 29  Classes begin 
Mon, Sept 5  Labor Day, no classes 
Tues, Sept 6  Last day to add/drop classes or request CR/NC option 
Thurs, Oct 13 — Wed, Oct 19  Midterm exams 
Thurs, Oct 20 — Fri, Oct 21  Midterm Break, no classes 
Fri, Nov 18  Last day to withdraw from classes 
Fri, Dec 9  Last day of classes 
Mon, Dec 12 1:00pm  3:00pm 
Math 1450 final exam 
#  Date  Topics  Video Links and Ungraded Textbook HW 

Week 1  
1  Mon, Aug 29  Syllabus  Lecture Notes 
Tues, Aug 30 
Discussion Sections Calculus Pretest (does not count for grade)  
2  Wed, Aug 31 
Section 1.1  Functions and Change (started) Demos: » Example Function #1 » Example Function #2 » Example Function #3 
Lecture Notes (Fall 2020) Section 1.1  Lecture (Fall 2020) Section 1.1  Exercises Sugg. HW: Section 1.1: # 2, 35, 36, 37, 38, 39, 40, 41, 42 
Thurs, Sept 1  Discussion Sections  
3  Fri, Sept 2 
Section 1.1  Functions and Change (finished) Section 1.2  Exponential Functions (started) Demos: » Two Points Determine a Line » Population Growth » Exponential Growth 
Lecture Notes (Fall 2020) Section 1.2  Lecture (Fall 2020) Section 1.2  Exercises Sugg. HW: Section 1.1: # 5, 8, 9, 11, 12, 18, 45, 55 Section 1.2: # 13, 15, 25, 27, 29, 44, 65 
Week 2  
Mon, Sept 5  Labor Day  no class  
Tues, Sept 6  Discussion Sections  
4  Wed, Sept 7 
Wiley Plus Practice HW #0 Due Section 1.2  Exponential Functions (finished) Section 1.3  New Functions From Old (started) Demos: » Exponential Growth » Exponential Decay » Vertical Shift 
Lecture Notes (Fall 2020) Section 1.3  Lecture (Fall 2020) Section 1.3  Exercises Sugg. HW: Section 1.2: # 6, 7, 10, 11, 37, 41 Section 1.3: # 1c, 2c, 3c, 4 
Thurs, Sept 8 
Discussion Sections Quiz 1 — covers Section 1.1 only  
5  Fri, Sept 9 
Wiley Plus HW #1 Due — Section 1.1 Section 1.3  New Functions From Old (continued) Demos: » Vertical Shift » Horizontal Shift » Vertical Stretch » Horizontal Stretch » All Transformations 
Lecture Notes Sugg. HW: Section 1.3: # 1, 2, 3, 5, 7, 10, 11, 15, 16, 17, 41, 42 
Week 3  
6  Mon, Sept 12 
Section 1.3  New Functions From Old (finished) Section 1.4  Logarithmic Functions (started) Demos: » Logs are the inverses of exponentials 
Lecture Notes Sugg. HW: Section 1.3: # 31, 32, 33, 37, 62 ,63, 64, 80, 81 Section 1.4: # 7, 8, 25, 27, 31 
Tues, Sept 13  Discussion Sections  
7  Wed, Sept 14 
Wiley Plus HW #2 Due — Sections 1.2 and 1.3 Section 1.4  Logarithmic Functions (finished) 
Lecture Notes (Fall 2020) Section 1.4  Lecture (Fall 2020) Section 1.4  Exercises Sugg. HW: Section 1.4: # 1, 2, 5, 6, 10, 14, 15, 17, 22, 36, 37, 41, 45, 46, 49, 64, 66, 79 
Thurs, Sept 15 
Discussion Sections Quiz 2 — Sections 1.2, 1.3, and 1.4  
8  Fri, Sept 16 
Section 1.5  Trigonometric Functions (started) Demos: » Points on a Circle » Sine » Cosine » Sin/Cos Transformation 
Lecture Notes (Fall 2020) Section 1.5  Lecture (Fall 2020) Section 1.5  Exercises Sugg. HW: Section 1.5: # 18 (just sine and cosine), 10, 11, 15, 16, 25, 27, 43, 45, 63, 89 
Week 4  
9  Mon, Sept 19 
Section 1.5  Trigonometric Functions (finished) Section 1.6  Powers, Polynomials, and Rational Functions (started) Demos: » Tangent » Powers vs. Exponentials 
Lecture Notes (Fall 2020) 1.6  Lecture (Fall 2020) 1.6  Exercises Sugg. HW: Section 1.5: # 18 (just tangent), 29 Section 1.6: # 3, 4, 5, 6, 9, 10, 11, 12, 17, 78, 79 
Tues, Sept 20  Discussion Sections  
10  Wed, Sept 21 
Wiley Plus HW #3 Due — Sections 1.4, 1.5, and a little of 1.6 Section 1.6  Powers, Polynomials, and Rational Functions (finished) 
Lecture Notes Sugg. HW: Section 1.6: # 7, 18, 19, 21, 22, 23, 33, 34, 35, 45, 47 
Thurs, Sept 22 
Discussion Sections Quiz 3 — Sections 1.5, 1.6  
11  Fri, Sept 23 
Section 1.7  Introduction to Limits and Continuity (started) 
Lecture Notes (Fall 2020) 1.7  Lecture (Fall 2020) 1.7  Exercises Sugg. HW: Section 1.7: # 1, 2, 3, 4, 5, 7, 11, 12, 13, 14, 15, 17, 19, 31, 33, 43, 45, 57, 59, 89 
Week 5  
12  Mon, Sept 26 
Section 1.7  Introduction to Limits and Continuity (finished) Section 1.8  Extending the Idea of a Limit (started) 
Lecture Notes (Fall 2020) 1.8  Lecture (Fall 2020) 1.8  Exercises Sugg. HW: Section 1.7: # 23, 24, 25, 27, 28 Section 1.8: # 1, 2, 3, 17, 19, 21, 23, 27, 28, 37, 44, 45, 47, 65 
Tues, Sept 27  Discussion Sections  
13  Wed, Sept 28 
Exam 1 — covers all material up to and including Monday, Sept. 26 Wiley Plus HW #4 Due — covers 1.6, 1.7, some of 1.8  
Thurs, Sept 29 
Discussion Sections Quiz 4 — covers 1.6 and 1.7  
14  Fri, Sept 30 
Section 1.8  Extending the Idea of a Limit (finished) Section 1.9  Further Limit Calculations Using Algebra (started) 
Lecture Notes (Fall 2020) 1.9  Lecture (Fall 2020) 1.9  Exercises Sugg. HW: Section 1.8: # 6, 7, 8, 9, 10, 11, 15, 67, 75 Section 1.9: # 1, 3, 5, 7, 9, 11, 13, 15 
Week 6  
15  Mon, Oct 3 
Section 1.9  Further Limit Calculations Using Algebra (finished) Section 2.1  How Do We Measure Speed (just barely started) Demos: » Squeeze Theorem 
Lecture Notes (Fall 2020) 2.1  Lecture (Fall 2020) 2.1  Exercises Sugg. HW: Section 1.9: # 27, 29, 31, 33, 58, 60, 63 
Tues, Oct 4  Discussion Sections  
16  Wed, Oct 5 
Wiley Plus HW #5 Due — covers 1.8, 1.9 Section 2.1  How Do We Measure Speed (finished) 
Lecture Notes Sugg. HW: Section 2.1: # 1, 2, 3, 4, 5, 11, 13, 14, 15, 16, 23, 31 
Thurs, Oct 6 
Discussion Sections Quiz 5 — covers 1.8, 1.9 and 2.1  
17  Fri, Oct 7 
Section 2.2  The Derivative at a Point (started and almost finished) Demos: » Secant Line » Tangent Line » Sine Example » Exponential Example (part 1) » Exponential Example (part 2) 
Lecture Notes (Fall 2020) 2.2  Lecture (Fall 2020) 2.2  Exercises Sugg. HW: Section 2.2: # 1, 2, 3, 4, 7, 10, 11, 12, 13, 14, 15, 21, 22, 23, 32, 39, 57, 59, 61 
Week 7  
18  Mon, Oct 10 
Section 2.2  The Derivative at a Point (finished) Section 2.3  The Derivative Function (started) 
Lecture Notes (Fall 2020) 2.3  Lecture (Fall 2020) 2.3  Exercises Sugg. HW: Section 2.3: # 4, 5, 6, 7, 9, 11, 12, 13, 15, 17, 19, 33, 37, 39, 41, 44 
Tues, Oct 11  Discussion Sections  
19  Wed, Oct 12 
Wiley Plus HW #6 Due — covers 2.1, 2.2 Section 2.3  The Derivative Function (finished) Section 2.4  Interpretations of the Derivative (started) 
Lecture Notes (Fall 2020) 2.4  Lecture (Fall 2020) 2.4  Exercises Sugg. HW: Section 2.3: # 2, 23, 24, 47, 4851, 53, 61, 63 Section 2.4: # 1, 2, 4, 5, 9, 13 
Thurs, Oct 13 
Discussion Sections Quiz 6 — covers 2.1, 2.2  
20  Fri, Oct 14 
Section 2.4  Interpretations of the Derivative (finished) Section 2.5  The Second Derivative (started) Demos: » Second Derivative example 
Lecture Notes (Fall 2020) 2.5  Lecture (Fall 2020) 2.5  Exercises Sugg. HW: Section 2.4: # 14, 15, 23, 24, 33, 34, 35, 37 Section 2.5: # 113, 18 
Week 8  
21  Mon, Oct 17 
Section 2.5  The Second Derivative (finished) Section 2.6  Differentiability (started) 
Lecture Notes (Fall 2020) 2.6  Lecture (Fall 2020) 2.6  Exercises Sugg. HW: Section 2.5: 14, 19, 21, 23, 25, 39, 41 Section 2.6: 16 
Tues, Oct 18  Discussion Sections  
22  Wed, Oct 19 
Wiley Plus HW #7 Due — covers 2.3, 2.4, 2.5 Section 2.6  Differentiability (finished) Section 3.1  Powers and Polynomials (started, almost finished) Demos: » Constant Multiple » Sum and Difference 
Lecture Notes (Fall 2020) 3.1  Lecture (Fall 2020) 3.1  Exercises Sugg. HW: Section 2.6: 7, 9, 11, 13 Section 3.1: 39, 1117, 1923, 31, 33, 37 
Thurs, Oct 20  Midterm Break  no class  
Fri, Oct 21  Midterm Break  no class  
Week 9  
23  Mon, Oct 24 
Section 3.1  Powers and Polynomials (finished) Section 3.2  The Exponenial Function (started and finished) Demos: » Exponential Derivative 
Lecture Notes (Fall 2020) 3.2  Lecture (Fall 2020) 3.2  Exercises s Sugg. HW: Section 3.1: 43, 54, 55, 61, 63, 66, 67, 68, 69, 75, 79 Section 3.2: 113, 26, 27, 2935, 40, 43, 49, 52, 53, 56 
Tues, Oct 25  Discussion Sections  
24  Wed, Oct 26 
Exam 2 Wiley Plus HW #8 Due — covers 2.6, 3.1  
Thurs, Oct 27 
Discussion Sections Quiz 7 — covers 2.6, 3.1  
25  Fri, Oct 28  Section 3.3  The Product and Quotient Rules (finished) 
Lecture Notes (Fall 2020) 3.3  Lecture (Fall 2020) 3.3  Exercises Sugg. HW: Section 3.3: 1, 317, 21, 23, 31, 32, 32, 3437, 43, 45, 47, 49, 57, 67 
Week 10  
26  Mon, Oct 31  Section 3.4  The Chain Rule (finished) 
Lecture Notes (Fall 2020) 3.4  Lecture (Fall 2020) 3.4  Exercises Sugg. HW: Section 3.4: 19, 19, 20, 22, 2430, 35, 37, 4547, 49, 50, 59, 61, 63, 73, 77ab, 96, 97 
Tues, Nov 1  Discussion Sections  
27  Wed, Nov 2 
Wiley Plus HW #9 Due — covers 3.2, 3.3, some 3.4 Section 3.5  The Trigonometric Functions (finished) Demos: » Derivative of sin » Derivative of tan 
Lecture Notes (Fall 2020) 3.5  Lecture (Fall 2020) 3.5  Exercises Sugg. HW: Section 3.5: 228, 43, 51, 55, 56, 58, 59, 61, 73 
Thurs, Nov 3 
Discussion Sections Quiz 8 — covers 3.2, 3.3, 3.4  
28  Fri, Nov 4 
Section 3.6  The Chain Rule and Inverse Functions (started and finished mini version) Section 3.9  Linear Approximations and the Derivative (started) Demos: » zoom in #1 » zoom in #2 » sin linear approximation 
Lecture Notes (Fall 2020) 3.6  Lecture (Fall 2020) 3.6  Exercises Note: In Fall 2020 I covered more material in 3.6 than we did this semester. (Fall 2020) 3.9  Lecture (Fall 2020) 3.9  Exercises Sugg. HW: Section 3.6: 14, 7, 921, 33, 35, 73, 49, 50, 57, 65 Section 3.9: 14 
Week 11  
29  Mon, Nov 7 
Section 3.9  Linear Approximations and the Derivative (finished) Section 1.7  (just the part about the increasing function theorem) Section 3.10  Theorems about Differentiable Functions (started) Demos: » sin linear approximation » exponential growth linear approximation 
Lecture Notes (Fall 2020) 3.10  Lecture (Fall 2020) 3.10  Exercises Sugg. HW: Section 3.9: 59, 13, 15, 20, 21, 22 Section 1.7: 78, 82, 83, 86, 90, 91 Section 3.10: 1, 2, 3, 7, 9, 11, 13, 15, 16, 17, 27 
Tues, Nov 8  Discussion Sections  
30  Wed, Nov 9 
Wiley Plus HW #10 Due — covers 3.4, 3.5, 3.6, 3.9 Section 3.10  Theorems about Differentiable Functions (finished) Section 4.1  Using First and Second Derivatives (started) 
Lecture Notes (Fall 2020) 4.1  Lecture (Fall 2020) 4.1  Exercises Sugg. HW: Section 3.10: 4, 5, 21, 25, 4547 Section 4.1: 22a, 23a, 24a, 25a, 43, 44 
Thurs, Nov 10 
Discussion Sections Quiz 9 — covers 3.4, 3.5, 3.6, 3.9  
31  Fri, Nov 11  Section 4.1  Using First and Second Derivatives (continued) 
Lecture Notes Sugg. HW: Section 4.1: 13, 48 (ignore inflection points), 9, 11, 13, 15, 17, 19, 2225, 33, 35, 43 
Week 12  
32  Mon, Nov 14 
Section 4.1  Using First and Second Derivatives (finished) Section 4.2  Optimization (started) 
Lecture Notes (Fall 2020) 4.2  Lecture (Fall 2020) 4.2  Exercises Sugg. HW: Section 4.1: 48 (inflection points), 39, 40, 41, 42, 51, 75, 76, 77 Section 4.2: 1, 2, 3033 
Tues, Nov 15  Discussion Sections  
33  Wed, Nov 16 
Wiley Plus HW #11 Due — covers 3.10, 4.1, 4.2 Section 4.2  Optimization (finished) Section 4.3  Optimization and Modeling (started) 
Lecture Notes (Fall 2020) 4.3  Lecture (Fall 2020) 4.3  Exercises Sugg. HW: Section 4.2: 38, 1017, 21, 41, 43, 47 
Thurs, Nov 17 
Discussion Sections Quiz 10 — covers 3.10, 4.1, 4.2  
34  Fri, Nov 18  Section 4.3  Optimization and Modeling (finished) 
Lecture Notes Sugg. HW: Section 4.3: 15, 710, 11, 14, 15, 20, 21, 22, 23, 24, 26a, 31, 35, 37, 47 
Week 13  
35  Mon, Nov 21  Section 4.6  Related Rates (started) 
Lecture Notes (Fall 2020) 4.6  Lecture (Fall 2020) 4.6  Exercises Sugg. HW: Section 4.6: 3, 5, 6, 7, 11, 13, 14, 19, 27, 29, 30, 32, 36, 49, 51, 59 
Tues, Nov 22 
Wiley Plus HW #12 Due on TUESDAY — covers 4.3 Discussion Sections  
Wed, Nov 23  Thanksgiving Break  no class  
Thurs, Nov 24  Thanksgiving Break  no class  
Fri, Nov 25  Thanksgiving Break  no class  
Week 14  
36  Mon, Nov 28 
Section 4.6  Related Rates (finished) Section 5.1  How do we measure distance traveled? (started) 
Lecture Notes Sugg. HW: no new homework 
Tues, Nov 29  Discussion Sections  
37  Wed, Nov 30 
Exam 3 Wiley Plus HW #13 Due 

Thurs, Dec 1 
Discussion Sections Quiz 11 — covers 4.3, 4.6  
38  Fri, Dec 2 
Section 5.1  How do we measure distance traveled? (finished) Section 4.7  L'Hopital's Rule (started) 
Lecture Notes (Fall 2020) 5.1  Lecture (Fall 2020) 5.1  Exercises Sugg. HW: Section 5.1: 119, 23, 25, 31, 32, 33, 42, 43, 47, 49, 51, 53 
Week 15  
39  Mon, Dec 5  Section 4.7  L'Hopital's Rule (finished) 
Lecture Notes (Fall 2020) 4.7  Lecture (Fall 2020) 4.7  Exercises Sugg. HW: Section 4.7: 119, 2233, 5460 
Tues, Dec 6  Discussion Sections  
40  Wed, Dec 7 
Wiley Plus HW #14 Due— covers 4.7, 5.1 Section 5.2  The Definite Integral 
Lecture Notes (Fall 2020) 5.2  Lecture (Fall 2020) 5.2  Exercises Sugg. HW: Section 5.2: 18, 1012, 21, 23, 25, 35, 39, 41, 47, 49, 51 
Thurs, Dec 8 
Discussion Sections Quiz 12 — covers 4.7, 5.1  
41  Fri, Dec 9  Section 5.3  The Fundamental Theorem and Interpretations 
Lecture Notes (Fall 2020) 5.3  Lecture (Fall 2020) 5.3  Exercises Sugg. HW: Section 5.3: 17, 919, 21, 23, 29 
Finals Week  
Mon, Dec 12  Final Exam, 1pm  3pm 