Foothill College STEMWay is excited to offer Math 1A, Math 1B and Math 1C workshops for the fall 2013. The STEMWay Math workshops are divided into two sessions:Session I and Session II

1A: Session I is held on Tuesday and Thursday from 8:00 – 9:30 AM and Wednesday and Friday from 1:00 – 2:30 PM

1A: Session II is held on Tuesday, Thursday and Friday from 10:30 – 12:00 noon and Wednesday from 1:00 – 2:30 PM

1B: Session I is held on Tuesday from 1:00 to 2:30 PM; Friday from 8:00 to 9:30 AM

1B: Session II is held on Tuesday and Thursday from 3:00 to 4:30 PM

1C: Session I is held on Wednesday from 4:30 to 6:00 PM

1C: Session II is held on Thursday from 4:30 to 6:00 PM

From one week to another, Session I and Session II cover similar topics as and are based upon inputs from Math 1A faculty as well as student needs. Group work and making connections with other students should be expected.

Session I/II for Math 1A:

Week 1: What is differential calculus, the limit and how to find them

Week 2: Continuity, limit symbols and graphical interpretation

Week 3: Definitions of the derivative as a number and function and differentiability

Week 4: Graphing f(x) from f ‘(x); review Chapter 2

Week 5: Using the definition to create derivative rules: power, exponential, product, quotient, trigonometric and chain rules

Week 6: Implicit, inverse trigonometric and logarithmic differentiation

Week 7: Natural and social science interpretations of derivatives and linear approximations and differentials

Week 8: Related rates and maximum and minimum values

Week 9: Derivative and shapes of curves and graphing with calculus and calculators

Week 10: Indeterminate forms and L’Hopital’s rule and optimization

Week 11: Newton’s method and antiderivatives

Week 12: Preparing for the final

Session I/II for Math 1B:

Week 1: What is integral calculus, Riemann sums, the limit and how to find them

Week 2: Evaluation, net change and fundamental theorems of calculus

Week 3: Substitution and integration by parts

Week 4: Trigonometic integrals, trigonometric substitutions, and partial fraction expansion.

Week 5: Integration using tables and approximate integrals

Week 6: Improper integrals and areas between curves

Week 7: Disk and washer methods

Week 8: Arclength and average value of a function

Week 9: Work

Week 10: Modeling differential equations and direction fields

Week 11: Euler’s Method, separation of variables and growth and decay problems

Week 12: Preparing for the final

Session I/II for Math 1C:

Week 1: What are power series, how do they work in integration and how to generate them

Week 2: Are power series always valid? Ratio test, radius of convergence and checking endpoints

Week 3: Tests for convergence

Week 4: Tests for convergence (continued)

Week 5: Vectors: addition, subtraction and 2 kinds of multiplication (dot and cross products)

Week 6: Equations of lines and planes and functions and surfaces

Week 7: Cylindrical and spherical coordinates and functions of several independent variables

Week 8: Limits, continuity and partial derivatives of functions of several independent variables

Week 9: Tangent planes and linear approximations and the chain rule

Week 10: Directional derivatives and the gradient vector and minimum and maximum values

Week 11: Lagrange multipliers

Week 12: Preparing for the final