MA 137 --- Course Notes (by Chapter)

  1. Chapter 1
  2. Chapter 2
  3. Chapter 3
  4. Chapter 4
  5. Chapter 5
  6. Chapter 6

Tentative Course Schedule - MWF Classes (Lectures)


Date Description
W 1/11 Review of integration; application of integration (Section 6.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 1/13
Applications of integration (Section 6.3)
M 1/16 Martin Luther King Birthday - no class
W 1/18 The substitution rule (Section 7.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 1/20
 
Integration by parts and practicing integration (Section 7.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 1/23 Integration by parts and practicing integration (Section 7.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 1/25 Rational functions and partial fractions (Section 7.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 1/27
 
Rational functions and partial fractions (Section 7.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 1/30 Improper integrals (Section 7.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 2/1 Improper integrals (Section 7.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 2/3
 
Improper integrals (Section 7.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 2/6 Catch up and Review
T 2/7 EXAM 1, 5-7 pm
W 2/8 Solving differential equations (Section 8.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 2/10
Solving differential equations (Section 8.1)
M 2/13 Solving differential equations (Section 8.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 2/15 Direction fields and SAGE (handout)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 2/17
 
Direction fields and SAGE
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 2/20 Equilibria and their stability (Section 8.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 2/22 Equilibria and their stability (Section 8.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 2/24
 
Linear systems (Section 9.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 2/27 Linear systems (Section 9.1)
A useful software to perform Gaussian Elimination: click here.
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 3/1 Matrices (Section 9.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 3/3
 
Matrices (Section 9.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 3/6 Catch up and Review
T 3/7 EXAM 2, 5-7 pm
W 3/8 Linear maps, eigenvectors, and eigenvalues (Section 9.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 3/10
 
Linear maps, eigenvectors, and eigenvalues (Section 9.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 3/13 Spring Break - no class
W 3/15 Spring Break - no class
F 3/17
Spring Break - no class
M 3/20 Linear maps, eigenvectors, and eigenvalues (Section 9.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 3/22 Fibonacci's numbers, a population model, and powers of matrices (handout)
F 3/24
 
Curve fitting - least squares approximation (handout)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 3/27 Curve fitting - least squares approximation
W 3/29 Functions of two or more independent variables (Section 10.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 3/31
 
Limits and continuity (Section 10.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 4/3 Partial derivatives (Section 10.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 4/5 Partial derivatives (Section 10.3)
F 4/7
 
Tangent planes, differentiability, and linearization (Section 10.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 4/10 Tangent planes, differentiability, and linearization (Section 10.4)
T 4/11 EXAM 3, 5-7 pm
W 4/12 Vector-valued functions (Section 10.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 4/14
 
Linear Systems: Theory (Section 11.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 4/17 Linear Systems: Theory (Section 11.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 4/19 Linear Systems: Theory (Section 11.1)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 4/21
 
Linear systems: applications (Section 11.2)
Lecture notes   (with answers)   [4 x page format   (with answers)]
M 4/24 Nonlinear autonomous systems: Theory (Section 11.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
W 4/26 Nonlinear autonomous systems: Theory (Section 11.3)
Lecture notes   (with answers)   [4 x page format   (with answers)]
F 4/28
 
Nonlinear systems: Applications (Section 11.4)
Lecture notes   (with answers)   [4 x page format   (with answers)]  
W 5/3 FINAL EXAM, 8:30-10:30 pm