Homework assignment is posted on the day it is assigned and due dates are marked. The notation [SM] means the course textbook by Smith and Minton. Any special instructions, comments, etc. are posted in the final column.
| Week | Date | Material Covered | Homework assignment | Comments. |
|---|---|---|---|---|
| 8/25 - 8/29 | 8/25 | Lecture 1: Introduction, rational and irrational numbers | none | Welcome to Math 221! | 8/26 | Recitation 1 | in-class exercises | 8/27 | Lecture 2: Sequences, completeness axiom of the real numbers, limit of a monotone sequence [SM] 8.1 |
[SM] 8.1 #4,10ab,34,38,40,45,46 due Thu 9/4 |
8/28 | Recitation 2 | diagnostic quiz (Quiz #1) |
| 9/1 - 9/5 | 9/1 | No class (Labor Day) | 9/2 | Recitation 3 | Lab #1 | 9/3 | Lecture 3: Limits of sequences [SM] 8.1 | 9/4 | Recitation 4 | discussion and review |
| 9/8 - 9/12 | 9/8 | Lecture 4: Infinite series [SM] 8.2 | [SM] 8.2 #2,4,8,20,35,40,51 due Thu 9/11 | 9/9 | Recitation 5 | in-class exercises, Quiz #2 Solutions to Quiz #2 |
9/10 | Lecture 5: Infinite series, continued [SM] 8.3, 8.4 | 9/11 | Recitation 6 | Lab #2 |
| 9/15 - 9/18 | 9/15 | Lecture 6: Functions, review of elementary functions SM Chapter 0 |
[SM] 0.3 #8,14,53 ; 0.4 #8,47 ; 0.5 #16,34,48,54 ; 1.2 #3,10 due Thu 9/18 | 9/16 | Recitation 7 | review and discussion, Quiz #3 Solutions to Quiz #3 |
9/17 | Lecture 7: Limit of a function at a point [SM] 1.2 | 9/18 | Recitation 8 | Lab #3 |
| 9/22 - 9/25 | 9/22 | Lecture 8: Continuity and applications [SM] 1.4 | no homework this week | 9/23 | Recitation 9 | review and discussion, Quiz #4 | 9/24 | Lecture 9: Area, Riemann sums, definite integral [SM] 4.3 | 9/25 | FIRST MIDTERM EXAM Review sheet for first midterm exam | Solutions to Midterm Exam #1 |
| 9/29 - 10/2 | 9/29 | Lecture 10: Definite integral (continued), integral as a linear operator [SM] 4.4 | [SM] 1.4 #6,14,20,33 ; 4.3 #2,4,18 ; 4.4 #12,18,22,34 ; 4.8 #4,44,Exploratory Exercise 1 (you may need to use some differential calculus to answer this question) due Mon 10/6 | 9/30 | Recitation 10 | in-class exercises | 10/1 | Lecture 11: Indefinite integral, functions defined via integrals [SM] 4.8 (pages 416-419 only) | 10/2 | Recitation 11 | Lab #4 |
| 10/6 - 10/9 | 10/6 | Lecture 12: Numerical integration [SM] 4.7 | [SM] 4.7 #2,6,17,22; 5.1 #8,25,33 For 4.7 #22, also do the following: (i) find bounds on the error for each approximation method from the error bound theorems (ii) for each method, find a number of subdivisions which guarantees 10^(-7) accuracy For 5.1 #8,25, set up the integral only (you do not need to evaluate it). due Mon 10/13 | 10/7 | Recitation 12 | review and discussion, Quiz #5 Solutions to Quiz #5 |
10/8 | Lecture 13: Numerical integration (continued); applications of the integral (computing area) [SM] 5.1 |
10/9 | Recitation 13 | review and discussion |
| 10/13 - 10/16 | 10/13 | Lecture 14: Computing volume by disks and washers [SM] 5.2 | [SM] 5.2 #1,3,20,46; 5.3 #2,4,12,32 For 5.2 #3 and 5.3 #12, set up the integral only due Mon 10/20 | 10/14 | Recitation 14 | in-class exercises, Quiz #6 Solutions to Quiz #6 |
10/15 | Lecture 15: Computing volume by shells [SM] 5.3 | 10/16 | Recitation 15 | Lab #5 |
| 10/20 - 10/23 | 10/20 | Lecture 16: Rates of change, definition of the derivative [SM] 2.1, 2.2 | three additional volume problems (see handout in the next column), [SM] 2.1 #20,35,44; 2.2 #4,9,50,62 For 2.2 #40, describe in words the meaning of each of these derivatives, including appropriate units due Mon 10/27 |
HW #7 assignment | 10/21 | Recitation 16 | in-class exercises, Quiz #7 Solutions to Quiz #7 | 10/22 | Lecture 17: Computation of derivatives (examples), Power
Rule, linearity, graphical interpretation of the derivative, tangent lines [SM] 2.2, 2.3 |
10/23 | Recitation 17 | Lab #6 |
| 10/27 - 10/30 | 10/27 | Lecture 18: Power Rule, Product Rule, Quotient Rule, Chain Rule [SM] 2.3, 2.4, 2.5 | [SM] 2.3 #4,12,18,33; 2.4 #2,10,17,21; 2.5 #6,16,34 due Mon 11/3 | 10/28 | Recitation 18 | in-class exercises, Quiz #8 Solutions to Quiz #8 | 10/29 | Lecture 19: Higher-order derivatives, implicit differentiation [SM] 2.3, 2.8 | 10/30 | SECOND MIDTERM EXAM Review sheet for second midterm exam | Solutions to Midterm Exam #2 |
| 11/3 - 11/6 | 11/3 | Lecture 20: Implicit differentiation (continued), linear approximation, differentials [SM] 2.8, 3.1 | [SM] 2.8 #2,10,14,27; 3.1 #3,9; 2.9 #2,18,20 due Mon 11/10 | 11/4 | Recitation 19 | in-class exercises | 11/5 | Lecture 21: Rolle's theorem, Mean Value Theorem [SM] 2.9 | 11/6 | Recitation 20 | Lab #7 |
| 11/10 - 11/13 | 11/10 | Lecture 22: Maxima and minima, concavity, inflection points [SM] 3.3, 3.4, 3.5 | [SM] 3.3 #11 (find max/min on [-2,2]),18 (find max/min on
[-2,0]),24; 3.4 #35,36,44,61; 3.5 #2,8,33,55 due Mon 11/17 Hint for 3.5 #55: what can you say about the sign of f(x)? about the sign of f'(x)? | 11/11 | Recitation 21 | in-class exercises, Quiz #9 Solutions to Quiz #9 | 11/12 | Lecture 23: Curve sketching [SM] 3.6 | 11/13 | Recitation 22 | Lab #8 |
| 11/17 - 11/20 | 11/17 | Lecture 24: Optimization problems [SM] 3.7 | [SM] 3.7 #16,19,20,34 two additional optimmization problems due Mon 12/1 |
HW #11 assignment | 11/18 | Recitation 23 | in-class exercises, Quiz #10 Solutions to Quiz #10 | 11/19 | Lecture 25: Optimization, part II [SM] 3.7 | Guest lecturer: John Mackay | 11/20 | Recitation 24 | in class exercises |
| 12/1 - 12/4 | 12/1 | Lecture 26: Related rates [SM] 3.8 | [SM] 3.8 #2,23,24,32; 4.5 #2,8,28,30,46; 4.6 #8,12,36 due Wed 12/10 |
12/2 | Recitation 25 | review for third midterm exam, Quiz #11 Solutions to Quiz #11 | 12/3 | Lecture 27: Fundamental theorem of calculus [SM] 4.5 | 12/4 | THIRD MIDTERM EXAM Review sheet for third midterm exam | Solutions to Midterm Exam #3 |
| 12/8 - 12/10 | 12/8 | Lecture 28: Fundamental theorem of calculus (continued) [SM] 4.5 | 12/9 | Recitation 26 | Lab #9 | 12/3 | Lecture 29: Integration by substitution [SM] 4.6 |