• Demonstrate basic manipulative skill in Algebra, Geometry, Trigonometry and basic Calculus.

• Apply the underlying, unifying structures of Mathematics( i.e. Sets, Relations, functions and Logical structures).

• Communicate Mathematical ideas both orally and in writing.

• Investigate and apply Mathematical problems and solutions in a variety of contexts related to Science, Technology, Business and Industry. Illustrate these solutions using symbolic, numeric or graphical methods.

• Investigate and solve unfamiliar mathematical problems.

• Demonstrate basic manipulative skill in Algebra, Geometry, Trigonometry and basic Calculus.

• Apply the underlying, unifying structures of Mathematics( i.e. Sets, Relations, functions and Logical structures).

• Communicate Mathematical ideas both orally and in writing.

• Investigate and apply Mathematical problems and solutions in a variety of contexts related to Science, Technology, Business and Industry. Illustrate these solutions using symbolic, numeric or graphical methods.

• Investigate and solve unfamiliar mathematical problems.

• Understand the conditions of Mathematics.

• Be able to perform basic computations in Higher Mathematics.

• Be able to read and understand middle level proofs.

• Be able to write and understand basic proofs.

• Develop and maintain problem solving skills.

• Use Mathematical ideas to model real-world problems.

• Acquire knowledge of the history of Mathematics.

• Be able to communicate Mathematical ideas with others.

• Have experience using technology to address Mathematical ideas.

1) Each student will be able to solve the problems on Real Numbers. Students will understand numbers, way of representing numbers, relationships among numbers and number systems.

2) Student will be able to solve the Limits and Continuity, functions of one and two variables.

3) Compute limits of functions as the independent variable approaches some finite value or infinity.

4) Students will use Boolean Algebra to design and simplify Logic circuits.

5) Students will demonstrate the ability to interpret geometrically the derivatives and integrals of real valued and vector valued functions of several variables.

6) Students will demonstrate the ability to interpret geometrically the derivatives and integrals of real valued and vector valued functions of several variables.

7) Students will demonstrate the ability to apply the techniques of multivariable calculus to problems in Mathematics, the Physical Sciences and Engineering.

8) Students will demonstrate the ability to solve a variety of differential equations analytically and numerically.

9) Students will demonstrate the ability to formulate models of natural phenomena using Differential Equations.

10) Students will demonstrate the ability to interpret a differential equations quantitatively.

11) Students will interpret the derivative of a function graphically, numerically and analytically.

12) Students will be able to utilize appropriate theory and computational techniques to construct Taylor’s Series with its interval of convergence for use in a variety of applications such as approximating values of a function creating series for new functions and studying the behavior of a function.

13) Students will be able to solve polar equations.

14) Students will demonstrate the ability to solve equations involving Trigonometric values.

15) Students will be identifying real and complex analysis and solve the problems.

16) Students will be able to solve the maximum, minimum values of functions.

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