a-Knowledge and Understanding :-

a1.    Know and understand the different methods and rules of integration including finite and improper integrals.

a2.    Define and determine the limit of a sequence.

a3.    Decide on convergence or divergence of a wide class of series.

a4.    Know that a power series has a radius of convergence, and to know how to find it.

a5.    Understand the methods of solving different classes of ordinary differential equations and their applications.

a6.    Demonstrate basic knowledge and understanding of a core of analysis, algebra, applied mathematics and statistics.

a7.    Demonstrate strong knowledge of computational methods.                                                                                                                                              

b-Intellectual Skills :-

1. Analyze and apply the methods of integration, series summations and tests of convergence
2. Apply to analyze, compare, and select appropriate techniques to solve ordinary differential equations
3. Defining problems in precise scientific way.
4. Summarizing problems, proposed solutions and their results.

c-Professional Skills :-

1. Use techniques of integration, infinite Series, and ordinary differential equations in solving practical problems
2. Explore, and where feasible solve, mathematical problems, by selecting appropriate techniques.
3. Use of standard numerical recipes and mathematical libraries in problem solving.

d-General Skills :-

1. Manage time effectively.
2. Present a clear, logical argument.
3. Work independently.
4. The ability to evaluate systems in terms of general and specific quality attributes.