**ENGINEERING MATHEMATICS**

**COURSE - BA101 Engineering Mathematics 1 (Semester 1)****Synopsis:**

ENGINEERING MATHEMATICS 1 exposes students to algebra, standard form, index and logarithm, geometry and measurement as well as coordinates geometry and graph, theoretically and practically. This course also explains the basic concept of trigonometry and its functions in solving problems.**CREDIT (S): 2****PREREQUISITE(S): NONE**

**COURSE LEARNING OUTCOME (CLO)**

- Identify the basic concept of Basic Algebra, Standard Form, Index and Logarithm, Trigonometry, Geometry and Measurement, and Coordinate Geometry and Graph. (C1)
- Apply the concept and suitable method of Basic Algebra, Standard Form, Index and Logarithm, Trigonometry, Geometry and Measurement, and Coordinate Geometry and Graph. (C3, P1).
- Solve the related mathematical problems by using suitable steps in Trigonometry, and Geometry and Measurement. (A2)

**COURSE - BA201 Engineering Mathematics 2 (Semester 2)****Synopsis:**

ENGINEEERING MATHEMATICS 2 provides exposure to students regarding complex numbers which explains real and imaginary numbers. This course also emphasizes on calculus and its applications.**CREDIT ( S ):2****PREREQUISITE(S):BA101**

**COURSE LEARNING OUTCOME (CLO)**

- Explain basic operations on complex numbers stated in various forms using algebraic operations or by constructing Argand’s diagrams. (C2)
- Apply various differentiation techniques to determine the derivatives of algebraic, trigonometric, logarithmic, exponential and parametric functions up to the second order including solving real life optimization and kinematic problems. (C3, P1)
- Use suitable integration methods in solving related problems to determine the definite and indefinite integrals of algebraic, trigonometric, reciprocal and exponential functions. (C3, A1)

**COURSE - BA301 Engineering Mathematics 3 (Semester 3)****Synopsis:**

ENGINEEERING MATHEMATICS 2 provides exposure to students regarding complex numbers which explains real and imaginary numbers. This course also emphasizes on calculus and its applications.**CREDIT ( S ):2****PREREQUISITE(S):BA101**

**COURSE LEARNING OUTCOME (CLO)**

- Explain basic operations on complex numbers stated in various forms using algebraic operations or by constructing Argand’s diagrams. (C2)
- Apply various differentiation techniques to determine the derivatives of algebraic, trigonometric, logarithmic, exponential and parametric functions up to the second order including solving real life optimization and kinematic problems. (C3, P1)
- Use suitable integration methods in solving related problems to determine the definite and indefinite integrals of algebraic, trigonometric, reciprocal and exponential functions. (C3, A1)

**COURSE - BA501 Engineering Mathematics 4 (Semester 5)****Synopsis:**

ENGINEERING MATHEMATICS 4 consists of topics such as binomial and series expansion as well as vector, scalar, partial fraction and Laplace Transform. This course also discuss on analytical geometry of conics for mechanical engineering students.**CREDIT ( S ):2****PREREQUISITE(S):BA201**

**COURSE LEARNING OUTCOME (CLO)**

- Use binomial expansion and power series to find the required value. (C3, P1)
- Solve related problems of vectors and partial fractions by using suggested method. (C3)
- Perform the solution of advanced calculus problems using Laplace Transform and Inverse Laplace Transform based on appropriate theorems. (A2)
- Present the graphs of analytical geometry for conics by analyzing their equations. (A2)

**COURSE - BA601 Engineering Mathematics 5 (Semester 6)****Synopsis:**

ENGINEERING MATHEMATICS 5 exposes students to hyperbolic, inverse hyperbolic and inverse trigonometric functions. This course also introduces differentiation and integration. Differential equation topic is included to guide students to understand the methods of solving differential equations.**CREDIT ( S ):2****PREREQUISITE(S):BA501**

**COURSE LEARNING OUTCOME (CLO)**

- Find the values for hyperbolic, inverse hyperbolic and inverse trigonometric functions based on solid comprehension of these functions. (C1)
- Respond to the given problems by using advanced differentiation and integration formula. (C3, P3)
- Analyze the solutions of first and second order differential equations by using the appropriate methods. (C4, A2)