SC 107: Calculus, Where are you ? Fall 2016
"If you give a child a fish you feed him for a day, if you teach him fishing you feed him for a lifetime." - a Chinese proverb
What is good education? Giving systematically opprutunuity to the student to discover things by himself. - (Condensed from H. Spencer)
Education is what remains after one has forgotten what one has learned in school. Albert Einstein
Weekly outline
1 August - 7 August
Lecture 1: 9:00 am to 10:00 am, Place: LT-3
Lecture1 File 7.6MB Powerpoint presentation
10 + 2 Revision (Suggested Reading)
Section 1 Preliminaries (Thomas Calculus)
1.1 Real Numbers and Real Line
1.2 Lines, Circles and Parabolas
1.3 Functions and their Graphs
1.4 Identifying Functions: Mathematical Models
1.5 Combining Functions
1.6 Trigonometric Functions
1.7 Graphing with Calculators and Computers
8 August - 14 August
Sections from Thomas Book
Read Section 11.2 Infinite Series (Must Read)
Read Section 11.3 The Integral Test (Must Read)
Read Section 11.4 Comparison Tests (Must Read)
Read Section 11.5 The Ratio and Root Tests (Must Read)
Read Section 11.6 Absolute and Conditional Convergence (Must Read)
Read Section 11.7 Power Series (Must Read)
15 August - 21 August
Sections from Thomas Book (Must Read)
Read Section 2.1 Rates of Changes and Limits (10+2 Revision)
Read Section 2.2 Calculating the Limits Using the Limits Laws (10+2 Revision)
Read Section 2.3 The Precise Definition of a Limit (Must Read)
Read Section 2.4 One Sided Limits and Limits at Infinity(Must Read)
Read Section 2.5 Infinite Limits (Must Read)
Read Section 2.6 Continuity (Must Read)
Section 3 Differentiation
Read Section 3.1 The Derivative as a Function (Must Read)
Read Section 3.2 Differentiation Rules (10+2 Revision)
Read Section 3.3 The Derivative as a Rate of Change (Read)
22 August - 28 August
Read Section 4.1 Extreme Values of Functions (Must Read)
Read Section 4.2 The Mean Value Theorem (Must Read)
Read Section 4.3 Monotonic Functions and the First Derivative Test (Must Read)
Read Section 4.5 Applied Optimization Problems (Must Read)
Read Section 4.6 Indeterminate Forms and L'Hospital's Rule (Must Read)
Section 5 Integration
Read Section 5.1 Estimating with Finite Sums (Must Read)
Read Section 5.2 Sigma Notation and Limits of Finite Sums (Must Read)
Read Section 5.3 The Definite Integral (Must Read)
Read Section 5.4 The Fundamental Theorem of Calculus (Must Read)
Read Section 5.5 (10+2 Revision)
29 August - 4 September
First Insem Test (31 Aug - 03 Sept 2016)
Test Sample 3 File 30.4KB PDF document
Our Exam: September 2, 2016 (11:00 am to 1:00 pm)
5 September - 11 September
Sections from Thomas Book (Must Read)
Read Section Partial Derivatives
Read Section 14 .1 Functions of Several Variables (Must Read)
Read Section 14 .2 Limits and Continuity in Higher Dimensions (Must Read)
Read Section 14 .3 Partial Derivatives (Must Read)
Read Section 14 .4 The Chain Rule (Must Read)
Read Section 14 .5 Directional Derivatives and Gradient Vectors. (Must Read)
12 September - 18 September
Text Book (Must Read) for Complex:
Schaum's Outline of Complex Variables, 2ed (Schaum's Outline Series), by , Theory and Problems of Complex Variables (Schaum's Outline)Murray R. SpiegelAdditional (Advanced Books) References:
1. Theory of the functions of the complex variables, E. T. Copson
2. Complex Variables and Applications, Ruel V. Churchill
3. Complex Analysis, L. V. Ahlfors
4. A Theory of functions, E. C. Titchmarsh
26 September - 2 October
Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus
(1965, ISBN 0-8053-9021-9) by Michael Spivak
17 October - 23 October
Second Insem Test (17 Oct - 20 Oct 2016)
Course: Every thing after Test 1 covered in the class
Our Exam: October 18, 2016 (14:00 hrs to 16:00 hrs)
31 October - 6 November
7 November - 13 November
14 November - 20 November
Course Evaluation
28 November - 4 December
End Sem Exam ( 28 Nov 2016 to 05 Dec 2016)