ĐH Bách khoa – ĐHQG Tp.HCM Faculty of Applied Science
Undergraduate Syllabus
CALCULUS I Course Code : 006401 - Credit - No. hours
: 05 : Total Theory Exercise 75 45 30 - Grading : Class participation 10% Class discussion 10% Homeworks 10% Midterm exam: 30% Grading scale 10/10 Final exam: 40 % - Pre-requisite : - Program : Advanced Program - Level : Senior EE Core course - Note
TCHP: Labs/Practice
Project
Seminar/Others
MS:
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1. Course Objectives: To equip the students with the concept and techniques of limits and differentiation and their applications, as well as an introductory exposition to the theory of integration
2. Course outline: -
Function and Models Limits and Derivatives Differentiation Rules Application of differentiation Integrals
3. Textbook and references: [1] James Stewart, Calculus Early Transcendentals, 6th edition, Thomson & Brooks Cole, 2008
4. Assessment Scheme: Class participation Class discussion Homeworks Midterm exam:
10% 10% 10% 30%
5. Course content: I Functions and Models - Four ways to Represent a Function - Model and Curve Fitting - New Functions from Old Functions - Graphing Calculators and Computers - Exponential functions PĐT, Mẫu 2008-ĐC
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PĐT, Mẫu 2008-ĐC
- Inverse Functions and Logarithms - Parametric Curves II. Limits and Derivatives - The Tangent and Velocity Problems - The Limit of a Function - Calculating Limits Using Limit Laws - Continuity - Limits Involving Infinity - Tangents, Velocity, and Other Rates of Change - Derivatives - The Derivative as a Function - Linear Approximations - What does f’ say about f ? III. Differentiation Rules - Derivatives of Polynomials and Exponential Functions - The Product and Quotient Rules - Rates of Change - Derivatives of Trigonometric Functions - The Chain Rule - Implicit Differentiation - Derivatives of inverse trigonometric functions - Derivative of Logarithmic Functions IV. Application of differentiation - Related Rates - Maximum and Minimum Values - Derivatives and the Shapes of Curves - First Derivative Test - Concavity - Graphing with Calculus and Calculators - Indeterminate Forms and l’Hospital’s Rule - Optimization Problems - Newton’s Method - Antiderivatives V. Integrals - Areas and Distances - The Definite Integral
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PĐT, Mẫu 2008-ĐC
- Evaluating Definite Integrals - The Fundamental Theorem of Calculus
Dean of Faculty
Instructor
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