Math 178 (Spring 2017)

This website will contain all course material for the Spring 2017 section of “Math 178: Mathematical Modeling” as taught by Matthew D. Johnston at San Jose State University.

Green sheet:

Lectures:

  • Sec 002: TuTh: 3:00-4:15 p.m. MH 224
  • Sec 003: TuTh: 1:30-2:45 p.m. MH 320

Instructor Office Hours (DH 339):

  • M: 10:30 a.m. – 12:00 p.m.
  • Tu: 10:30 a.m. – 12:00 p.m.
  • By appointment or on Piazza

Textbook:

  • A First Course in Mathematical Modeling Frank Giordano, William Fox, Steven Horton 5th edition

Grade Breakdown:

  • Online Homework: 20% (WebAssign)
  • Written Projects: 10%
  • Term Tests: 20% (x two)
  • Final Exam 30%

Piazza Course Discussion:

Computer Code

WebAssign Homework:

Written Assignments (best 2 of 3):

Term Tests (both sections):

Final Exam

Lectures (click link for notes)

  • Jan. 26 (Ch. 1.1) – Introduction, Difference Equations
  • Jan. 31 (Ch. 1.2) – Applications of Difference Equations
  • Feb. 2 (Ch. 1.3) – Solutions of Difference Equations
  • Feb. 7 (Ch. 1.4) – Systems of Difference Equations
  • Feb. 9 (Ch. 6.1) – Probabilistic Models
  • Feb. 14 (no text) – Markov Chains
  • Feb. 16 (Ch. 2.1-2.2) – Proportionality (Linear)
  • Feb. 21 (Ch. 2.3) – Proportionality (Nonlinear)
  • Feb. 23 (Ch. 3.1-3.2) – Model Fitting
  • Feb. 28 (Ch. 3.3) – Least Squared Error
  • Mar. 2 – Term Test I
  • Mar. 7 (Ch. 6.3) – Correlation Coefficient
  • Mar. 9  (Ch. 4.2-4.3) – Fitting to a Polynomial
  • Mar. 14 – (Ch. 4.3) – Divided Differences
  • Mar. 16 (Ch. 4.4) – Cubic Splines
  • Mar. 21 (Ch. 7.1) – Linear Programming
  • Mar. 23 (Ch. 7.2-7.3) – The Feasible Region
  • Mar. 27-31 – Spring recess
  • Apr. 4 (Ch. 7.4) – Simplex Method
  • Apr. 6 (no text) – Applications of Linear Programming
  • Apr. 11 (Ch. 10.1) – Game Theory
  • Apr. 13 (Ch. 10.2-4) – Pure and Mixed Strategies
  • Apr. 18 (Ch. 11.1,4) – Differential Equations, Slope Fields
  • Apr. 20 (Ch. 11.6-7) – Solution Methods
  • Apr. 25 – Term Test II
  • Apr. 27 (Ch. 11.1-2) – Applications: Population Growth
  • May 2 (Ch. 11.1-2) – Applications: Mixing Tanks
  • May 4 (Ch. 11.5) – Numerical Methods (ForwardEuler.py) (RungeKutta.py)
  • May 9 (Ch. 12.1-2) – Systems of Differential Equations
  • May 11 (Ch. 12.3) – Applications: Predator-Prey
  • May 16 – Final exam review!
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