| 1 |
Semester 1: paper I(B.A/B.SC)Plane Geometry |
The course helps to learn and visualize the fundamental ideas of coordinate geometry. Describe some surfaces by using analytical geometry. To gain knowledge about regular geometrical figures in two dimensional plane such as CIRCLE, PARABOLA , ELLIPSE , HYPERBOLA. |
| 2 |
Semester 2: paper I(B.A/B.SC)Solid Geometry |
One can understand the concept to transform the coordinates from one to another coordinates. Can enhance their knowledge about figures and their properties in three dimensional plane such asSPHERE , CYLINDER ,CONE.Tracing the conics. |
| 3 |
Semester 1: paper II: (B.A/B.SC)Calculus I |
There are so many learning outcomes from this course. One can understand order relation in real numbers, absolute values , different short cut techniques to find limits of functions and check continuity and widely used mean value theorems and to find high order derivatives. |
| 4 |
Semester 2: Paper II: (B.A/B.SC)Calculus II |
This course helps to understand methods of finding area, length, surface area of curve by integral techniques. The unsolvable integrals can be found by reduction formula. |
| 5 |
Semester 1: Paper III: (B.A/B.SC)Trigonometry and Matrices |
This course helps to learn about the expansions of trigonometric functions, acquire skills of solving problems in logarithm of complex quantities,summation of Trigonometric series and related problems. Also recognize the concept of matrices, Eigenvalues, Eigen vectors and Cayley Hamilton theorem. |
| 6 |
Semester 2: Paper III: (B.A/B.SC)Theory of Equations |
The course typically covers a range of topics related to polynomial equations and their solutions. Through this one can learn about polynomial equations and their general form, including linear, quadratic, cubic, quartic, and higher-order polynomials, and find the roots of various types of polynomial equations using algebraic and numerical methods. |
| 7 |
Semester 3: Paper I:(B.A/B.SC)Advanced calculus I |
Advanced calculus builds upon basic calculus concepts and introduces more complex functions, allowing students to develop a deep understanding of differentiation techniques. This includes derivatives of multivariable functions, implicit differentiation, parametric equations. Students will also learn about vector fields and vector calculus concepts like divergence, curl, and the gradient. |
| 8 |
Semester 4: Paper I: (B.A/B.SC)Advanced calculus II |
The course often covers the convergence and divergence of sequences and series, including power series, Taylor series, and Maclaurin series. |
| 9 |
Semester -III&IV Paper II(B.A/B.SC)Differential Equations |
After studying this course you should be able to: Recognise differential equations that can be solved by each of the three methods-direct integration, separation of variables and integrating factor method-and use the appropriate method to solve them, Use an initial condition to find a particular solution of a differential equation, given a general solution, Check a solution of a differential equation in explicit or implicit form by substituting it into the differential equation, Solve problems involving exponential growth and decay . |
| 10 |
Semester 3: Paper III:(B.A/B.SC) Statics |
One can understand the basic laws of forces coming from phyiscs, to be applicable with mathematical point of view and correlation with mathematical concepts and physics world. Resultant of any number of forces can be found. |
| 11 |
Semester 4: Paper III: (B.A/B.SC)Dynamics |
One can understand the basic laws governing the motion of bodies. Concepts of relative motion, momentum and impulse and projectiles can be studied. |
| 12 |
Semester 5: Paper I :(B.A/B.SC)Analysis I |
Through this course one can find single integral of any kind may be improper, standard, or special kind of integral or as an integral in parametric form. |
| 13 |
Semester 6: Paper I:(B.A/B.SC)Analysis II |
This course helps to find double and triple integral and study their convergence. |
| 14 |
Semester 5: Paper II(B.A/B.SC)Modern Algebra |
To learn fundamental properties and mathematical tools such as closure, identity ,inverse,generator.Helps to learn to transfer of two different structues through homomorphim and isomorphism in Group theory and Ring theory.Describe the fundamental concepts in Group theory and Ring theory such as cosets ,ideals,normal subgroups, quotient ,integral domains. |
| 15 |
Semester 6: Paper II(B.A/B.SC)Linear Algebra |
Hlps to learn importance of Linear Transformation in Physiscs,Engineering and various branches of mathematics.find eigen values and eigen vectors of a matrix which is used in the study of vibration,chemical reaction and geometry.understand linear dependent and independent of vectors over a field . the idea of basis and dimension of vector space. |
| 16 |
Semester 5 : Paper III(B.A/B.SC)Probability & Numerical Analysis. |
After studying this course, you should be able to Define the principal concepts about probability,Express the concepts of factorial and the basic principle of counting, Solve the problems about permutation, combination and binomial theorem, Express the concept of random event. |
| 17 |
Semester 3: PaperB.comBusiness and statistics |
After the course student is able to find correlation between the two linear variables. We can find index numbers and study the market analysis concept. |
| 18 |
Semester 4: paperB.comQuantitative Techniques |
Students can do various type of studies by taking primary data, by applying various methods of averages. Student is able to solve equations by matrix method and also do market analysis. |
