DIFFERENT ION AND INTEGRATION

COURSE DESCRIPTION: This course introduces the concepts of differentiation and integration and their applications to solving problems.

Course objective:

The objectives of this course are to enable students:

a. To translate quantifiable problems into mathematical terms and solve these problems using mathematical or statistical operations.

b. To construct graphs and charts, interpret them, and draw appropriate conclusions

EXPECTED STUDENT LEARNING OUTCOMES:

Upon completion of the course, students should be able to:

a) Write the equation of the tangent line to a curve at a specific point.

b) Calculate multiple derivatives of an algebraic function.

c) Identify over which intervals a given function is continuous or discontinuous

d) Use first and second derivative tests to identify extrema and inflection points.

e) Use first derivative in application problems to calculate marginal cost, marginal revenue and marginal profit.

f) Evaluate average rates of change as well as instantaneous rates of change.

g) Calculate the area between two curves.

h) Apply the definite integral to application problems.

i) Apply the skills above (a) - i)) to assorted real world scenarios and problems while demonstrating the ability to interpret, analyze, and solve problems