ICNS 103 : Fundamental Mathematics 

2 / 2011-2012
Mahidol University International College

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Announcements

General Information

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Schedule

DATE

TOPICS

Week 1

Limits, Continuity

Week 2

Derivative

Week 3

Basic rules for differentiation, Rate of change

Week 4

Quiz 1 (10 %) More rules of differentiation (Product rule, Quotient rule, Chain rule)

Week 5

Derivatives of logarithmic and exponential functions
Week 6

               

Implicit differentiation, Higher-order derivatives, Partial derivatives

Midterm Exam (March 24)

Week 7

Relative extrema, Absolute extrema on a closed interval, Concavity

Week 8

2nd-derivative test, Asymptotes, Applied maxima and minima
Week 9

Quiz 2 (10 %) Antiderivative, Indefinite and definite integrals

Week 10

Techniques of integration (substitution, integration by parts)

Week 11

Area between curves, Partial derivatives, Review for final

May 4

Final Exam

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Notes (Courtesy of Dr. Aram)

  1. 10.1 Limits
  2. 10.2 Limits (cont.)
  3. 10.3 Continuity, 10.4 Continuity Applied to Inequalities
  4. 11.1 The Derivative
  5. 11.2 Rules for Differentiation
  6. 11.3 The Derivative as a Rate of Change
  7. 11.4 The Product Rule and the Quotient Rule, 11.5 The Chain Rule and the Power Rule
  8. 12.1 Derivatives of Logarithmic Functions, 12.2 Derivatives of Exponential Functions
  9. 12.3 Elasticity of Demand, 12.4 Implicit Differentiation, 12.5 Logarithmic Differentiation, 12.7 Higher-Order Derivatives
  10. 13.1 Relative Extrema, 13.2 Absolute Extrema on a Closed Interval
  11. 13.3 Concavity, 13.4 The Second-Derivative Test, 13.5 Asymptotes, 13.6 Applied Maxima and Minima
  12. 14.2 The Indefinite Integral, 14.3 Integration with Initial Conditions, 14.4 More Integration Formulas, 14.5 Techniques of Integration, 15.1 Integration by Parts
  13. 14.6 The Definite Integral, 14.7 The Fundamental Theorem of Integral Calculus, 14.9 Area, 14.10 Area between Curves; 17.1 Functions of Several Variables, 17.2 Partial Derivatives, 17.3 Applications of Partial Derivatives

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Homeworks & Solutions

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