BS Mathematics - Calculus I - Course Instructions

• The main text for the course is Essential Calculus: Early Transcendentals by James Stewart, 1^st edition, Cengage, 2011. Please immediately issue a copy from the Library. You will be required to bring this book to each class.
• There will be three lectures and two tutorials every week.
• There will be fortnightly assignments. Part A of each assignment will be discussed in tutorials, and students will be allotted problems for presentation. Part B is meant for written submission. The problems will mainly be assigned from the exercises in Stewart.
• It is expected that about 10 assignments will be distributed during the course. You will then be allowed to drop your worst two assignment marks.
• No late submissions will be accepted. The only leeway for taking care of special circumstances is provided by the above-mentioned dropping of your worst two assignment marks.
• Attendance will be taken in each class. Be aware that SNU requires a minimum of 70% attendance separately in lectures and tutorials. No further waiver is given beyond this 30%, even for illness.

Content:

1. Functions & Graphs, Limits, Continuity, Derivatives, L’Hôpital’s Rule

2.  Higher derivatives, Maxima/ Minima, Curve sketching

3. Area & Integration, Fundamental Theorem of Calculus, Techniques of integration, Improper integrals

4. Applications to Area, Volume, Arc-Length

5. Parametric Equations and Polar Coordinates

6. Several variables: Level curves, limits & continuity, partial derivatives, tangent planes, chain rule, directional derivative, gradient, Maxima/Minima, Lagrange multipliers

Further References:

1.       The Calculus Lifesaver by A Banner, Princeton, 2007.

2.       Calculus and Analytic Geometry by G B Thomas and R L Finney, 9^th edition, Pearson.

3.       Basic Multivariable Calculus by J E Marsden, A J Tromba and A Weinstein, 1^st edition, Springer (India), 2011.

4.       Calculus by Ken Binmore and Joan Davies, 1^st edition, Cambridge, 2010.

Assessment:

Final Exam	50%
Midterm Exam	25%
Assignments	15%
Class Performance	10%