| Day | Topics | Preparation |
|---|---|---|
| Th. 1/20 | Introduction. Graphing lines, point-slope form. |
Sec. 1.1 |
| Tu. 1/25 | Lines and intersections of lines. | Secs. 1.1-2 |
| Th. 1/27 | Applications: break-even point, supply and demand, etc. |
Secs. 1.2-3 |
| Tu. 2/1 | Graphs of equations and symmetry. | Secs. 10.1-2 |
| Th. 2/3 | Functions and graphs. Shifts and reflections |
Secs. 10.2-3 |
| Tu. 2/8 | Library of functions. Qualities of a function: increasing/decreasing, domain/range. |
Secs. 10.2-3 |
| Th. 2/10 | Piecewise linear functions. Secant line, rates of change and difference quotient. |
Secs. 10.4, 5 |
| Tu. 2/15 | Quadratic functions: parabolas | Secs. 11.1 |
| Th. 2/17 | Polynomial functions and rational functions. | Secs. 11.2 |
| Tu. 2/22 | Exponential functions and logarithms. | Secs. 11.3-4 |
| Th. 2/24 | Graphs of exponential and logarithmic functions Properties of logarithms. Continuosuly compounded interest. |
Ch. 11.3-5 |
| Tu. 3/1 | Limits. | Secs. 12.1-3 |
| Th. 3/3 | Limits as x goes to infinity. The derivative and its meaning. | Secs. 12.4, 13.1 |
| Tu. 3/8 | Questions before the exam? The derivative and some formulas. |
Sec. 13.1-3. |
| Th. 3/10 | EXAM | Ch 1, 10, 11, 12. |
| Tu. 3/15 | Notation for the derivative. Derivative ofe^x Applications |
Sec. 13.2-3, 5. |
| Th. 3/17 | Product rule, quotient rule, power rule. | Sec. 13.3-4 |
| Tu. 3/22 | Chain rule and applications. | Sec. 13.5 |
| Th. 3/24 | Higher order derivatives. Implicit differentiation. QUIZ |
Sec. 13.6 Sec. 13.7 Secs 13.1-4 + derivative of e^x |
| Tu. 4/5 | Tangent lines. Derivatives and Increasing/decreasing. |
14.1-2. |
| Th. 4/7 | Derivatives and graphing. | Secs. 14.2-3. |
| Tu. 4/12 | Optimization, elasticity and other applications. |
Sec. 14.4-5 |
| Th. 4/14 | The anti-derivative and integrals. | Sec. 15.1-2 |
| Tu. 4/19 | Integration | Sec 15.2-3 |
| Th. 4/21 | Integration. | Sec. 15.4 |
| Tu. 4/26 | Questions before exam? Integration and area under a curve. Systems of Equations |
Ch 12-15. |
| Th. 4/28 | EXAM | Ch. 12-15 |
| Tu. 5/3 | Solving linear equations and applications. Review of graphing quadratics and other polynomials. |
Secs 2.1-2 |
| Th. 5/5 | Compound interest. Review of exponentials and logarithms. |
Secs. 5.1-2 |
| Tu. 5/10 | Graphing: shifts, max min, limits etc. Rational functions, piecewise functions. |
. |
| Sat. 5/14 1-3 (EBA 439) | FINAL EXAM. | Cumulative. |