Course Title： Calculus I
Course Code：12003
Number of Credits: 3
Teaching Hours: 48
Prerequisites: None
Overview
This course covers fundamental mathematics useful to modern sciences. The course mainly teaches three basic concepts: limits, differentiation and integration. Students are expected to develop skills in finding limits, derivatives, integrals, and notions about series and differential equations. Emphasis is placed on applying mathematical skills to real-world problems, such as those in economics. Student’s interest in calculus will be raised by the demonstrated vitality of solving practical problems with mathematical methods and their mathematics skills are sharpened by exercises.
Learning Outcomes
On completion of this course, students should be able to:
l Understand the idea of limits, differentiations and integrations;
l Calculate limits, derivatives and integrals;
l Use calculus to analyze and solve real-world problems, especially those in economics and management.
Teaching method
Classroom learning, Multimedia
Syllabus
1 Function and Models
2 Limits and Derivatives
3 Differentiation Rules
4 Applications of Differentiation
5 Integrals
6 Applications of Integration
7 Techniques of Integration
8 Further Applications of Integration
9 Differential Equations
10 Parametric Equations and Polar Coordinates
Assessment
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Form of assessment
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Weighting
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Relevant course aims and objectives
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Assignment
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40%
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Objectives relating to principle or theory
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Exam
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60%
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All aims and objectives
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Students must achieve a minimum mark 50% in the normal recorders before attending the exam. The exam is an end-of –semester test and it will last approximately about 3 hours.
Teacher’s information
Nie Gaohui
Li Jie
Luo Chunlin
Wang Pingping
Zou Yuren
Yu Dajin
Textbook
James Stewart, Calculus I(Fifth Edition)
Reference Materials