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Fall 2015

Jian Shen

MATH 2471

Calculus 1. Week 1. Functions and graphs. Trig functions. Trig identities. Exponential functions.

Calculus 1. Week 2. Rates of change and tangents to curves. Limit of the functions and laws. Sandwhich theory. Formal definition of a limit. One sided limit.

Continuity, limits with infinity, Tangent lines, derivative as a function

Tangent lines, derivatives as a function, differentiation rules, derivatives as a rate of change

Test 1 review. Trig functions. Tangent line. Rate of change. Limits. Substitution. Vertical and horizontal asymptotes. Differentiation rules. Projectile motion. Dropped from rest. Marginal cost and revenue.