Week 1. Real numbers and the real line, intervals, absolute value,

Equations and inequalities involving absolute value

Week 2.  Graphs of Quadratic Equations, circles, parabolas,

shifting a graph, ellipses and hyperbolas

Week 3. Functions, domain and range, graphs, even and odd functions,combining functions, composite functions,

piecewise defined functions

Week 4. Trigonometric functions, identities,

graphs of trigonometric functions, Limits of functions

Week 5. Limits at infinity and infinite limits, Continuity

Week 6. Tangent lines and their slopes, the derivative, Differentiation Rules, The Chain Rule

Week 7. Derivatives of Trigonometric Functions, Higher-Order Derivatives

Week 8. The Mean Value Theorem, Implicit Differentiation, Antiderivatives

Week 9. Inverse Functions, The Natural Logarithm and Exponential, The Inverse Trigonometric Functions

Week 10. Hyperbolic Functions, Related Rates, Finding Roots of Equations, Indeterminate Forms

Week 11. Extreme Values

Week 12. Concavity and Inflections, Sketching the Graph of Functions

Week 13. Max-Min. Problems,

Week 14. Linear Approximations