HCMUT - HCMNU

Ho Chi Minh City, 21 January 2011

Faculty of Applied Science Department of Math Applied

Syllabus

006001 – GIẢI TÍCH 1 (QUẢN TRỊ KINH DOANH) Credit Class Hours

: 4 (3 – 2 – 5) 75 Theory: 45 Exercises: 30 Consultation: 1 class hours per week par TA : Midterm exam 20% Writeen (60') Test + Activities 15% (Class Test + Attendance + Activities in Class) Assignment 15% Writeen Final exam 50% Writeen (120’)

Course outline: In this course, we study linear, quadratic, irrational functions, inequalities, simultaneous equations, some application on economics. Also we study the rules of differentiation, integration, partial differentiation to functions of several variables, differential equations and their applications on economic.

Textbook: Softcopy + Hardcopy [1]

Mathematics for Economics and Business, By Ian Jacques, 5th edition

Lecturer:

PhD. Nguyen Quoc Lan (toanbktp@yahoo.com)

- Faculty of Applied Science

TA:

MS. Nguyen Hong Loc

- Faculty of Applied Science

Course contents: Riview:

Highschool Calculus (One Week)

Chapter 1:

Linear Functions. (Two Weeks)

Chapter 2:

Non Linear Functions (Two Weeks)

Chapter 3:

Mathematics of Finance (One Week)

Chapter 4:

Differentiation (Two Weeks)

Chapter 5:

Partial Differention (Three Weeks)

Chapter 6:

Integration (One Week)

Chapter 7:

Differential Equation (One Week)

Outcome: After this couse, students are expected to be able to: 1/ Use linear functions in some economic fields such as supply and demand analysis. 2/ Use non linear functions in some economic fields such as revenue, cost and profits. 3/ Use derivative to study marginal functions and optimize economic functions. 4/ Use partial derivatives to study unconstrained and constrained optimization. 5/ Use integral to study some economic problem such as consumer’s and producer’s surplus. 6/ Use differential equations to study some economic problem such as supply and demand analysis.

Schedule: Three Class Hours of Lecture + Three Class Hours of Exercise per week Tr.1/2

Syllabus

Content

1

Highschool Calculus Review: Solving equations – inequations. Derivative. Find maximum and minimum. Sketch simple graph. Antiderivative. Definite Integral. The Substitution Rule. Integration by Part. Entry Test Chapter 1: Linear Functions. 1.1 Linear Functions. 1.2 Graph of Linear Functions 1.3 Algebraic Solution of Simultaneous Linear Equations 1.4 Supply and Demand Analysis 1.5 National Income Determination Chapter 2: Non Linear Functions 2.1 Quadratic Functions 2.2 Revenue, Cost and Profits 2.3 Power (Index) and Logarithms 2.4 The Exponential and Logarithmic Functions Chapter 3: Mathematics of Finance 3.1 Percentages 3.2 Compound Interest Midterm Exam Chapter 4: Differentiation 4.1 The Derivative of a Function 4.2 Rules of Differentiation 4.3 Marginal Functions 4.4 Optimization of Economic Functions Chapter 5: Partial Differentiation 5.1 Functions of Several Variables. 5.2 Partial Derivatives. 5.3 Unconstrained Optimization 5.4 Constrained Optimization 5.5 Lagrange Multipliers Chapter 6: Integration 6.1 Indefinite Integration. 6.2 Definite Integration. Application on Economics. Chapter 7: Differential Equation 7.1 Introduction 7.2 Separable and Linear Differential Equation 7.3 Application: Supply and Demand Analysis Final Exam

2–3

4–5

6

7–8

9 – 11

12 13

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Tr.2/2

Section (in Jacques Book) Lecture

1.1: Pages 13 – 15 1.2: Pages 15 – 35 1.3: Pages 35 – 47 1.4: Pages 47 – 66 1.5: Pages 96 – 113 All Chapter 2: Pages 113 – 175

3.1: Pages 177 – 194 3.2: Pages 194 – 209 4.1: Pages 237 – 251 4.2: Pages 251–261, 275 – 284 4.3: Pages 261 – 275 4.4: Pages 298 – 331 5.1, 5.2: Pages 341 – 356 5.3, 5.4, 5.5: Pages 386 – 421 All Chapter 6: Pages 421 – 451 All Chapter 7: Pages 569 – 587

3 006001 calculusgiai tich 1