Joseph P. Benitez
B CUSP 124
Develops modern calculus by investigating the questions, problems, and ideas that motivated its discovery and practice. Studies the real number system and functions defined on it, focusing on limits, area and tangent calculations, properties and applications of the derivative, and the notion of continuity. Emphasizes problem-solving and mathematical thinking. Prerequisite: either a minimum grade of 2.5 in B CUSP 123, sufficient score on approved mathematics assessment test, or a minimum score of 2 on either the AB or BC AP Calculus test. Offered: AWSp.
Winter 2014 - This is a first quarter course in calculus of functions of a single variable. It emphasizes differential calculus. It emphasizes applications and problem solving using the tools of calculus. We will use the tools of calculus to explore real world examples and problems. Each idea will be represented symbolically, numerically, graphically, and verbally.
Student learning goals
Students will identify limits of functions that are defined symbolically, graphically, and numerically when defined with tables of values.
Students will learn the formal definition of the first derivative and find algebraic derivative using both this definition and the traditional shortcut formulas associated with derivatives .
Students with solve real life applications and modeling using derivatives.
Develop proficiency with finding and interpreting geometrically the first and second derivatives of the reference functions.
Students will learn to apply the relationships between functional behavior and first and second derivative behaviors.
Find derivatives of implicit functions.
General method of instruction
A typically class will consist of interactive lectures with use of examples from the text and small group work, usually involving worksheets. Regular attendance and participation is highly recommended and will be included in calculation of the final grade!
Success in calculus depends on a large extend on knowledge of algebra, trigonometry, and functions. Prerequisite: 2.0 or above in B CUSP 123, Functions and Modeling or equivalent, or score of 70-100 on the MPT-A assessment test.
Class assignments and grading
Online textbook: Calculus – Single Variable, Hughes-Hallett, Gleason, McCallum, 5th Edition. Students may purchase a registration code to get access to the online textbook from Wiley but it is NOT required. Since that registration code includes a complete electronic version of the textbook, there is no need to buy a hard copy of the text. However, if students prefer, they may purchase a hard-copy of the text.
There will be 10 in-class worksheets, 4 quizzes, 3 exams and one comprehensive final exam. The course is not graded on a curve. Following is a rough grading scale: > 90% 3.5-4.0, 80-89% 2.5-3.4, 70-79% 1.5-2.4, 60-69% 0.7-1.4, < 60% 0.0
Grades will be determined using the following weighting: in-class worksheets (16%), quizzes (20%), 3 exams (40%), and comprehensive final exam (24%).