PRE-REQUISITE TOPICS, REVIEW AS NEEDED

ALGEBRA, Etc.

Some of the most common algebra mistakes made in calculus are described at http://www.math.hmc.edu/calculus/tutorials/algebrareview/
Please take a moment to understand these errors. They can cost you dearly on a calculus problem, even if you did study the new material!

Your textbook has a reference page at the front. Review Arithmetic Operations, Exponents and Radicals, Factoring Special Polynomials.
The rest of that page can come in handy at times too. We'll need area and volumes later in the quarter.

TRIGONOMETRY

See the flip side of the reference page at the front of your textbook (reference page 2). We'll make heavy use of:

• Trig Functions. Know sin x, cos x, tan x, sec x particularly well. You'll need: Right Angle Trigonometry, Graphs, Important Angles.

• Fundamental Identities, especially the first 8 at the top.

• Double-Angle Formulas for sin and cos.

• Half-Angle Formulas. These can be derived from the Double-Angle, of course.

• Inverse trig functions (this is on the first reference page at the back of the textbook, i.e. reference page 3)  

MATH 124 Material

Derivatives:

• Definition and geometric interpretation in terms of slopes

• Rules for differentiating all the common functions (reference page 5: formulas 1-8, 9, 11, 13-18, 19-24)

• Chain Rule

• Product Rule

L'Hospital's Rule (textbook section 4.4)

Special Functions

Other than the trig and inverse trig functions, you need to know the properties and special values of the exponential and logarithmic functions.
See reference page 4.

LIMITS

See separate review sheet.