STEMWay Workshops

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