Lesson Planning

Differential Calculus:
Lecture  No.	Topics		CLO
1	Overview of the course, Discussion on Course Policy, Course Blog, Importance of the course, Evaluation, Linkages of the course with other course/’s and Professional relevance
2	Review of limits, continuity and differentiability		1 1
3	Successive differentiation of standard functions and its examples
4,5	Leibnitz theorem (without proof)
6	Indeterminate forms (form for self-learning)
CLASS TEST
7,8	Taylor’s and Maclaurin’s expansion of single variable		1 &2
9	Partial Differentiation
10	Euler’s theorem and its applications
SESSIONAL EXAMINATION
11, 12	Total derivative, Chain Rule, Implicit function		2
13	Taylor’s and Maclaurin’s expansion of function of several variables		1 &2
14	Maxima and Minima of function of several variables		2
15	Lagrange’s method of undetermined multipliers
Integral Calculus:
Lecture  No.		Topics		CLO
1		Review of proper and improper integrals		3
2,3		Reduction formulae (sine, cosine, tangent)
4,5		Gamma functions
6,7		Beta functions
8		Error function
9,10		Tracing of curves (Cartesian curves)		3
11,12		Tracing of curves ( Polar curves)
CLASS TEST
13,14		Volume of solid of revolution		4
15,16		Jacobian and its applications
17,18		Area of surface of revolution
19,20		Double , triple integral and evaluation
SESSIONAL EXAMINATION
21,22		Change of variable for double integrals		4
23,24		Change of order of integration for double integrals
25,26,27		Area using double integration
28,29		Volume as double and triple integration
30		Review of the course, Feedback related to the course, Linkages with advanced course/s in succeeding years.