18.01 | Fall 2005 | Undergraduate

Single Variable Calculus

Calendar

ses # TOPICS KEY DATES
1

Velocity and Rates of Change

 
2 Slope and Derivative

Limits and Continuity

 
3 Differentiation Formulas: Products and Quotients  
4 Chain Rule and Implicit Differentiation  
5 The Derivatives of Exponential and Logarithm Functions Problem set 1 due
6 The Derivatives of Trigonometric Functions  
7 Review for Exam 1  
  Unit 1 Exam  
8 Approximations

Mean Value Theorem

 
9 Curve Sketching  
10 Max-Min Problems Problem set 2 due
11 Related Rates  
12 Inequalities, Zeros, and Newton’s Method  
  Unit 2 Exam  
13 Differentials and Indefinite Integrals  
14 Definite Integrals Problem set 3 due
15 The Fundamental Theorem of Calculus  
16 Properties of Definite Integrals  
17 Differential Equations and Separation of Variables Problem set 4 due
18 Numerical Integration and Review of Unit 3  
  Unit 3 exam  
19 Areas between Curves, Volumes of Revolutions, and Slicing  
20 Volumes by Shells and Average Values  
21 Parametric Equations and Arc Length  
22 Surface Area and Polar Coordinate Graphs Problem set 5 due
23 Area and Arc Length in Polar Coordinates  
  Unit 4 Exam  
24 Inverse Trigonometric Functions and Hyperbolic Functions  
25 Integration by Inverse Substitution  
26 Integration by Partial Fractions Problem set 6 due
27 Integration by Parts  
  Unit 5 Exam  
28 Indeterminate Forms and L’Hospital’s Rule  
29 Improper Integrals Problem set 7 due
30 Infinite Series  
31 Power Series  
32-33 Final Review Problem set 8 due in Ses #32

Course Info

Instructor
Departments
As Taught In
Fall 2005
Learning Resource Types
Exams with Solutions
Lecture Notes
Problem Sets with Solutions