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.
The course will cover Differential Calculus. This sub-topic of Calculus is concerned with rates of change. We live in a changing world, so understanding how certain quantities change in the world will give us great power!
The derivative will be our main ally this quarter. We will learn how to compute the derivative of functions (the rate at which the output of a function changes as its input changes) and the various applications for the derivative in such subjects as Physics, Economics and Statistics. But first, in order to really understand how we can compute the derivative of a function (also know as differentiating a function), we will have to learn about limits and continuity of functions - these will be the ingredients to our differentiation recipe.
Student learning goals
Limits and continuity of functions.
Definition of the derivative.
Computing the derivative of functions.
Applying the derivative to real-world problems.
Applications to optimization problems in other areas of study.
General method of instruction
We will aim to have a good balance between lectures and group work. Lectures will rely on student participation and active discussion.
The main actors in Calculus are functions, so you should know what they are and how to use them. Arithmetic, algebra, geometry, trigonometry are also good things to know.
Prereq: Successful completion of B CUSP 123 or passing the placement test.
Class assignments and grading
We will have weekly homework, weekly activities, two midterms and a final.
Homework will use the WileyPlus system which includes a printable soft copy of the textbook. You do not need to purchase a hard copy of the textbook. Further details about the textbook and homework will be discussed during the first class.
Grading scale TBD.
Weights are as follows: 20% total for homeworks; 20% total for activities/participation; and 60% total for exams.