Welcome to the College Algebra page. More information will be posted as the semester progresses.
I will try to post lecture notes on this page, but try not to make it a habit of missing class as I will inevitably fall behind. The homework listed for each lecture comes from the textbook
College Algebra: Graphs and Models, Fourth Edition by Bittinger, Beecher, Ellenbogen, and Penna. ISBN 0-321-52832-8
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| Lecture Notes | Week:Day | Text | Topics | Homework |
|---|---|---|---|---|
| Syllabus | A detailed overview of the course. | |||
| 1 : 1 | 1.1 | Syllabus Overview. Graphs. Solutions of Equations. Graphs of Equations. | No HW | |
| 1 : 2 | 1.1 cont | Distance Formula. Midpoints. Circles | Ch 1.1 #1, 3, 9, 17, 23, 29, 63, 77, 83 | |
| 2 : 1 | 1.2 | Functions. Vertical Line Test. Domain and Range | Ch 1.2 #21, 25, 37, 45, 51, 55, 97, 107 | |
| 2 : 2 | 1.3, 1.4 | Linear Functions. Slope. Slope-Intercept Equation. Point-Slope Equation. | Ch 1.3 #1, 5, 19, 35, 39, 73, 77 | |
| 3 : 1 | 1.4, 1.5 | Equations of Parallel/Perpendicular Lines. Solving Linear Equations. Finding Zeroes of Linear Functions | Ch 1.4 #3, 7, 19, 27, 35, 37, 43 | |
| 3 : 2 | 1.6 | Solving Linear Inequalities | Quiz 2 | |
| 4 : 1 | 2.1 | Increasing/Decreasing Functions. Relative Minima/Maxima. Piece-Wise Defined Functions. | Ch 2.1 #1, 15, 17, 39, 49, 55 | |
| 4 : 2 | 2.2 | Algebra of Functions. Difference Quotient | Ch 2.2 #1, 5, 7, 11, 13, 23, 33, 55, 59 Quiz 3 | |
| 5 : 1 | 2.3 | Composition of Functions. | Ch 2.1 #1, 15, 17, 39, 49, 55 | |
| 5 : 2 | 2.2 | Exam 1 Ch 1 - Ch 2.1 | ||
| 6 : 1 | 2.4 | Symmetries. Even and Odd Functions | Ch 2.4 #1, 3, 7, 13, 15, 17, 23, 35, 37, 41, 45 | |
| 6 : 2 | 3.1 | The Imaginary Number i. Complex Number Arithmetic. | Ch 3.1 #1, 7, 11, 33, 53, 73, 83 | |
| 7 : 1 | 3.2 | Quadratic Equations and Functions. Roots of Quadratic Functions. Completing the Square. Quadratic Formula. The Discriminant. | Ch 3.2 #1, 7, 21, 27, 35, 55, 69 | |
| 7 : 2 | 2.4 cont | Transformations of Functions. Graphing Quadratic Functions Using Transformation Techniques. | Ch 2.4 #49, 59, 85, 87, 89, 95, 97, 101, 111, 125 | |
| 8 : 1 | 3.3 | Transforming Graphs of Quadratic Equations. Vertex. Axis of Symmetry. | Ch 3.3 #1, 3, 11, 35, 43, 55 | |
| 8 : 2 | 3.4 | Rational and Radical Equations. Principle of Powers. | Ch 3.4 #1, 9, 15, 35, 45, 69, 81 Quiz 4 Quiz 5 Quiz 6 Due Tue, Oct 25 |
|
| 9 : 1 | 3.5, 4.1 | Equations and Inequalities with Absolute Values: Solutions and Graphs. Polynomial Functions: Definitions, End Behavior, Leading-Term Test. | Ch 3.5 #1, 11, 13, 19, 27, 45, 55, 61 | |
| 9 : 2 | Fall Break - No Class | |||
| 10 : 1 | 4.1 cont | Finding Zeroes of Factored Polynomials. Multiplicities of Zeroes and the Relationship to Graphs of Polynomials. Factoring by Grouping. | Ch 4.1 #1, 11, 17, 23, 27, 39, 69 | |
| 10 : 2 | 4.2 | Graphing Polynomial Functions. Intermediate Value Theorem. | Ch 4.2 #1, 7, 13, 17, 33 | |
| 11 : 1 | Exam 2: Ch 2.2 - Ch 3.5 | |||
| 11 : 2 | 4.3 | Polynomial Division. The Remainder and Factor Theorems. Synthetic Division. | Exam 2 Re-Do | |
| 12 : 1 | 4.4 | Fundamental Theorem of Algebra. Non-Real Zeroes. Irrational Zeroes. Rational Roots Theorem. | Ch 4.4 #1, 9, 17, 23, 33, 43, 53, 59, 79 | |
| 12 : 2 | 5.1 | Inverse Relations and Functions. One-to-One Functions. Horizontal Line Test | Ch 5.1 #1, 7, 13, 19, 21, 25, 29, 35, 69 Quiz 7 |
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| 13 : 1 | 5.2 | Exponential Functions: Graphs and Properties. The Number e | Ch 5.2 #5, 29, 39, 41 | |
| 13 : 2 | 5.3 | The Logarithm Function: Definition and Graphs. Natural Log, ln. Change of Base Formula | Ch 5.3 #9, 17, 39, 47, 49 | |
| 14 : 1 | 5.4 | Products, Sums, and Quotients of Logarithms. | Ch 5.4 #1, 9, 21, 25, 37, 47, 67, 75
Quiz 8 |
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| 14 : 2 | Thanksgiving Break - No Class | NO HW | ||
| 15 : 1 | 5.5 | Solving Exponential and Logarithmic Equations | ||
| 15 : 2 | Exam 3 - ch 4.1-5.5 | NO HW | ||
| 16 : 1 | Course Review Ch 1-3 | No HW | ||
| 16 : 2 | Course Review Ch 4-5 | Study Guide |