MATH 244 or both MATH 101 AND MATH 104; or the equivalent skill level as determined by the Southwestern College Mathematics Assessment or equivalent
RDG 56 or the equivalent
skill level as determined by the Southwestern College Reading Assessment or
equivalent
1. State and apply basic
definitions, properties, and theorems of first semester Calculus.
2. Model and solve problems using derivatives of algebraic and transcendental
functions.
3. Analyze and sketch graphs using the principles of calculus.
4. Evaluate limits, derivatives, definite and indefinite integrals graphically,
algebraically, and/or using the formal definitions.
| CHAPTER 1 | CHAPTER 3 | CHAPTER 5 |
| CHAPTER 2 | CHAPTER 4 | CHAPTER 6 |
| 3.7 | 4.5 | review for test 5 |
| optimization | 4.5-4.6 | 6.1-6.2 |
| 3.8-3.9 | 5.1-5.2 | Euler's excel |
| 3.9 | 5.2-5.3 | 6.3-7.1 |
| 4.1-4.2 | 5.4 | review for test 6 |
| 4.2-4.3 | 5.4 questions | derivative and integral review |
| 4.4 not available--substitute! | 5.5 not available--technical difficulties! | review for final/review for final 2 |
| REVIEW | 2.1-2.2 | 2.6 | 3.3 | CH. 3 REVIEW |
| 1.1 | 2.3 | 3.1 | 3.4 | 4.1-4.2 |
| 1.2-1.3 | 2.4 | 3.2 | 3.5 | CH. 4 REVIEW |
| 1.4-1.5 | 2.5 | CH. 2 REVIEW | 3.9 |
TENTATIVE SUMMER 2008 SCHEDULE
TI CALCULATOR STEP-BY-STEP TUTORIALS
Student will review the concepts of absolute value inequalities, functions, combinations of functions and composite functions.
Student will evaluate limits using the limit theorems, the definition, and demonstrate the concept of continuity.
Student will find the derivative (first and higher order) using rules, theorems and definition. Interpret as slope, rate of change, velocity, and acceleration.
Student will learn and demonstrate techniques of approximation, and the differential.
Student will apply the derivative to curve sketching, maxima-minima problems, and related rate problems.
Student will learn and apply Rolle’s Theorem and the mean value theorem.
Student will learn and demonstrate techniques for evaluating the integral using definition, rules, theorems and by approximation.
Student will apply the definite integral to find area, volumes of solids of revolution, and average values.
Student will learn and demonstrate techniques for differentiating exponential, logarithmic and trigonometric functions.
Student will learn and demonstrate techniques for evaluating integrals
involving, exponential, logarithmic and trigonometric functions, and functions.