Course Description
On successful completion of this course students will be able to:
- Evaluate various limit problems both algebraically and graphically.
- Evaluate limits with indeterminate forms using L'hospital's rule.
- Check the continuity of various types of functions.
- Differentiate various types of functions using the differentiation rules: Powers, Sum, Difference, Product, Quotient Rules, Implicit and Logarithmic Differentiation.
- Apply differentiation to find linear approximation, extrema, monotonicity, and concavity of functions.
- Sketch the graph of some functions using differentiation.
- Apply differentiation to solve some optimization problems.
- Find antiderivative of some simple functions.
- Understand the concept of indefinite integral as anti-derivative
- Know standard indefinite integrals and basic rules of indefinite integration
- Evaluate integrals by substitution with and without suitable hints
- Evaluate integrals of rational functions by partial fractions
- Evaluate integrals by a repeated use of integration by parts
- Understand the concept of definite integral and know the basic properties of definite integrals
- Know the fundamental theorem of calculus and be able to use it for evaluating
- Definite integrals and derivatives of integrals with variable limits of integration.
- Understand the concept of area of regions with curvilinear boundaries, be able to find area between curves
For more information about this course >
Course ID: MATH 152N
Credit hours | Theory | Practical | Laboratory | Lecture | Studio | Contact hours | Pre-requisite | 3 | 3 | 3 | MATH 101N |
---|