Math 120 — Differential and Integral Calculus

Assignments are due on Tuesday, by 22:00.


  Date Topic Book Homework Practice Problems
Sept. 7 Introduction to the course  
8 The Language of Sets
12 Functions and related terminology §1.1 H1 §1.1: 1, 25, 31. §1.3: 13, 37.
14 Inequalities §A A1 25, 33, 45
15 The Triangle inequality §A 53, 61, 67
19 Limits §2.4 H2 §2.2: 7, 13. §2.4: 1, 3
21 ε–δ Proofs §2.4 A2 17, 19, 21
22 Some Limit Theorems §2.3 1, 3, 7, 37
26 The Squeeze Theorem §2.3 H3 17, 21, 25, 35
28 Asymptotes §2.6 A3 15, 17, 31
29 Continuity §2.5 31, 37, 41
Oct. 3 Theorems about continuous functions §2.5 H4 45, 47, 51
5 Derivatives §2.7 A4 15, 17, 19
6 In-class exam #1
10
12 Fall Mid-Term Break
13
17 Differentiation §3.1 H5 7, 8, 9, 10
19 Differentiation Rules! §3.2 A5 7, 8, 13, 14, 25
20 Trigonometric Functions §3.3 11, 33, 35
24 The Chain Rule §3.4 H6 9, 25, 35
26 Differentiating Exponential Functions §3.5 A6 1, 3, 21
27 Implicit Functions §3.6 9, 19, 25
31 Differentiating Inverse Functions §3.6 H7 9, 19, 25
Nov. 2 Related Rates §3.5 A7 11, 25, 33
3 Extremal Values §4.1 3, 9, 13, 31
7 Optimization §4.7 H8 11, 33, 55
9 MVT §4.7 A8
10 In-class exam #2
14 L'Hopital's Rule H9
16 Increasing and decreasing functions §4.3 A9 5, 53
17 Convexity §4.3 1, 7, 15
21 Convexity II §4.3 H10
23 Convexity and applications to optimization A10
24 Curve Sketching §4.5 11, 41, 49
28 Definite Integrals I §5.1 H11 1, 11, 13, 15
30 Definite Integrals II §5.2 A11 7, 33, 37, 51
Dec. 1
5 ; H12
 
7   A12