Instructors: Brian Mintz, Alice Schwarze, Jack Petok.

Course on canvas.dartmouth.edu.⇗

Syllabus

Lectures Sections in Text Brief Description
NO LECTURES WEEK 1    
   

WEEK 2

1/9-1/13

    
1 1.1, 1.2 Introduction; review of functions
2 1.2, 1.3, 1.4, 1.5 More review of functions: inverse functions, trig functions, exponential and logarithmic functions
3 2.1-2.2 A preview of calculus; the limit of a function
4 2.2-2.3 More on limits basic limit laws

Week 3

1/17-1/20
5 2.4 Continuity
6 2.5 The precise definition of a limit
7 3.1 The derivative of a function

Week 4

1/23-1/27
8 3.2 The derivative as a function
9 3.3 Differentiation rules
10 3.4-3.5 Derivatives as rates of change
  11   3.6-3.7 The chain rule; derivative of an inverse  
     
 

Week 5

1/30-2/3

    
 

EXAM 1: 1/30

    
12 3.8 Implicit differentiation
13 3.9 Derivatives of exponential and logarithmic functions
14 4.1 Related rates

Week 6

2/6-2/10
15 4.2 Linear approximations and differentials
16 4.3 Maxima and minima
17 4.4 The mean value theorem

Week 7

2/13-2/17
18 4.5 Derivatives and the shape of a graph (including the second derivative test)
19 4.6 Limits at infinity and asymptotes; sketching a graph using calculus
20 4.7 More optimization problems

Week 8

2/20-2/24

Exam 2: 2/20
21 4.8, 4.10 L'hôpital's rule; antiderivatives
22 5.1-5.2 Approximating area under a curve: Riemann sums; the definite integral
23 5.2 More on the definite integral

Week 9

2/27-3/3
24 5.3-5.4 The fundamental theorem of calculus
25 5.4 Net change theorem; integrating even and odd functions
26 5.5 (+5.6, 5.7) Substitution
Week 10
27 V2 3.1 Integration by parts