Objectives: To introduce students to Differential Calculus in One Real Variable.Overview: Why study calculus? Sets and Functions. Review of Exponentials, Logarithms and Trigonometry. Inequalities, Limits: Idea of a limit, definition of a limit, continuity. Derivatives: Definition of a derivative, tangents, product rule, chain rule, quotient rule, higher derivatives, implicit differentiation, Newton's method for roots, exponential and logarithmic functions. Applications of der...
Learning Outcomes
Describe and manipulate functions
Evaluate limits of basic functions
Obtain derivatives of basic functions and combinations of such functions
Solve max-min problems
Use Newton's method
Sketch curves of the basic functions and combinations of such functions
Use the methods from the course to solve problems
State definitions and theorems covered in the course