SC 105: Calculus, Where are you ? Fall 2015
"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
Weekly outline
27 July - 2 August
No Classes !
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
3 August - 9 August
First Class on Tuesday 12:00 Noon at LT-3
SC105 Lecture1 File 7MB Powerpoint presentation
Extra Lecture 12:00 Noon to 1:00 pm on Thursday August 6, 2015 @ LT-3
Read Section 11.1 from the Thomas Book (Must Read)
10 August - 16 August
Extra Lecture 12:00 Noon to 1:00 pm on Thursday August 13, 2015 @ LT-3
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)
17 August - 23 August
Extra Lecture 12:00 Noon to 1:00 pm on Thursday August 20, 2015 @ LT-3
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)
24 August - 30 August
Sections from Thomas Book (Must Read)
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)
31 August - 6 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)
7 September - 13 September
First Insem Test (10 Sept - 12 Sept 2015)
SC 105 Test on 12 SEP 2015 (16.30 to 18.30)
Prashnawali File 41.5KB PDF document
14 September - 20 September
No Classes !
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
28 September - 4 October
12 October - 18 October
Second Insem Test (15 Oct - 17 Oct 2015)
SC 105 Test 2 on 15 OCT 2015 (14.00 to 16.00)
Course: Every thing after Test 1 covered in the class
Test Sample 1
9 November - 15 November
In sem Break (07 Nov - 15 Nov)
16 November - 22 November
Course Evaluation Week
23 November - 29 November
End Sem Exam ( 27 Nov 2015 to 03 Dec 2015)
Test 3 ( December 1, 2015, 9:00 am to 11:00 am),
CEP 102 (90), CEP 103 (17), CEP 106 (60), CEP 108 (60), CEP 110 (90).
Seats: L
Course: Every thing after Test 2 covered in the class
Good Luck !