Math 105 - Mordern Mathematics
Fall, 2004
Instructor: Prof. Ping Ji
Office Hour: Tuesday, 11:15AM - 12:15PM
Office: 4230N
Ext: x8841
| Date | Class # | Topics covered | Sections |
| 8/31 (T) | 1 | Review: Properties of real numbers, negatives, fractions, sets, absolute values, exponents, polynomials, factoring, rational expressions | P1-P7 |
| 9/2 (R) | 2 | Basic equations: Linear, Nonlinear, Fractional exponents, Solving for variable in terms of others, Modeling | 1.1, 1.2 |
| 9/7 (T) | 3 | Quadratic equations, Solution by factoring, completing the square, quadratic formula, Discriminant. | 1.3 |
| 9/9 (R) | 4 | Complex numbers, Complex roots of quadratic equations. | 1.4 |
| 9/14 (T) | 5 | Other types of equations - Polynomial, quadratic type, radical | 1.5 |
| 9/21 (T) | 6 | Inequalities: Linear, Quadratic. Absolute values | 1.6, 1.7 |
| 9/23 (R) | 7 | Focus on Modeling - Chapter 1 review | |
| 9/28 (T) | 8 | Quiz #1 | |
| 9/30 (R) | 9 | Coordinate plane. Distance & midpoint formulas. Graphs of equations in two variables. Intercepts, symmetry. Graph of circle | 2.1, 2.2 |
| 10/5 (T) | 10 | Equations of straight lines | 2.4 |
| 10/7 (R) | 11 | Direct and indeirect variation. Applications | 2.5 |
| 10/12 (T) | 12 | Function definition. Functional notation. Graphing functions. Domain, Range. Vertical line test. Graphs of special functions | 3.1, 3.2 |
| 10/14 (R) | 13 | Increasing and decreasing functions. Shifting, shrinking, stretching functions | 3.3, 3.4 |
| 10/19 (T) | 14 | Graphing quadratic functions. Function composition | 3.5, 3.6 |
| 10/21 (R) | 15 | Functions and inverses. Review | 3.7 |
| 10/26 (T) | 16 | Quiz #2 | |
| 10/28 (R) | 17 | Polynomial functions and their graphs. Zeros and local extrema of polynomials. | 4.1 |
| 11/2 (T) | 18 | Division of polynomials. Division algorithm, Synthetic division, Remainder & Factor Theorems | 4.2 |
| 11/4 (R) | 19 | Real zeros of polynomials, Complex zeros. Fundamental Theorem of Algebra | 4.3, 4.4 |
| 11/9 (T) | 20 | Rational functions, graphing and asymptotes | 4.5 |
| 11/11 (R) | 21 | Exponential functions and their graphs, e^x, Compound interest | 5.1 |
| 11/16 (T) | 22 | Logarithmic functions and their graphs. Common and natural logarithms. Applications | 5.2 |
| 11/18 (R) | 23 | Laws of logarithms. Exponential and logarithmic equations. | 5.3, 5.4 |
| 11/23 (T) | 24 | Systems of equations. Systems of two linear equations. | 6.1, 6.2 |
| 11/30 (T) | 25 | Systems of Equations. Review | |
| 12/2 (R) | 26 | Quiz #3 | |
| 12/7 (T) | 27 | TBA | |
| 12/9 (R) | 28, Last Class | Review | |
| 12/16 (R) | DEPARTMENTAL FINAL EXAM |