The course focuses on differentiation of inverse trigonometric functions and application of implicit and logarithmic differentiation. It also emphasizes the completion of the Basic Integration Rules (BIR), techniques of integration, improper integrals, parametric equations, sequences, and series. Applications of integration include area and volumes of solids of revolution.
Prerequisite Courses
Competency
Quantitative Reasoning
Course Outcomes
After successfully completing the course, the learner will be able to:
- Recognize the place of differential calculus in mathematics and the greater realm of scientific thought,
- Demonstrate ability to solve problems in the geometry and analysis using in differential forms,
- Demonstrate capacity to both prove results and solve problems.
- Discuss the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
- Determine the reasonableness of solutions including signs, relative accuracy, size, and units of measurement.
- Integrate polynomial, rational, radical and transcendental functions using standard advanced techniques.
- Analyze the convergence/divergence of infinite sequences and series and express functions using power series representations.
- Represent mathematical information symbolically, visually, numerically, and verbally.