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.
First quarter in calculus of functions of a single variable. Emphasizes differential calculus. Emphasizes applications and problem solving using the tools of calculus. We will use the tools of calculus to explores real world examples and problems. Each idea will be represented symbolically, numerically, graphically, and verbally.
Student learning goals
* Understand limits and be able to apply the formal definition of limits. *Understand what derivatives are. *How to use derivatives. *Techniques of derivation. *Real life application and modeling using derivatives. *How can technology is used to gain a better understanding of derivatives
*Understand what derivatives are.
*How to use derivatives.
*Learn techniques of derivation.
*Real life application and modeling using derivatives.
General method of instruction
Discussion and group discovery – sometimes as a whole class and sometimes in small groups. Participation is essential to the success of this class. Mistakes in class are ABSOLUTELY OK. 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, trig, and functions. Prerequisite: 2.5 or above in B CUSP 123, Functions and Modeling.
Class assignments and grading
HW and Quizzes – 50 pts Homework/Attendance – 5 points for each completed HW Participation and attendance- 10pts 1st Midterm – 40 pts. 2nd Midterm – 40 pts. Final Exams – 60 pts
The course is not graded on a curve. Following is a rough grading scale: <104 points (52%) – 0.0 104 points (52%) – 0.7 110 points (55%) – 1.0 130 points (65%) – 2.0 160 points (80%) – 3.0 180 points (90%) – 4.0 I reserve the right to change this scale, most likely in your favor.