Calculus I

Shandong University of Finance and Economics

Course Code：

Total Number of Instruction Hours: 56 hours

Number of Credits：3

About this Course

This course emphasizes the application of differential and integral calculus to the problems encountered in business and management science. The course begins with a brief review of algebra in order to ensure that students have the necessary mathematical skills to succeed in the course. This review is followed by an introduction to functions, continuity and limits, curve sketching.

Prerequisites and Preparation

An equivalent pre-calculus math course is strongly recommended. Students should have a deep understanding of basic algebra and trigonometry.

Course Goals

The aims of this module are:

·         to describe the basic concepts of function.

·         to introduce and basic properties of function.

·         give practice in the various techniques that are regularly used.

·         to provide students with the requisite background in calculus for next semester modules.

The outline of this module are:

·         Unit 1: Brief Review of Algebra and Trigonometry for Calculus

·         Unit 2: Functions

·         Unit 3: Limits

On completion of this module, students should be able to:

·         demonstrate understanding for function.

·         able to apply the basic techniques to analysis the function.

·         understanding the concept of limit for the function.

·         manage time effectively.

·         interpret graphical information.

·         work independently.

·         think logically.

Course Components and Requirements

·         Class exercises

·         Lectures

·         Six problem sets

·         Final Exam

Assigned Readings

Calculus for Business, Economics, Life Sciences, and Social Sciences, by Michael R. Ziegler, Karl E. Byleen

Thomas' Calculus, by George B. Thomas

Deliverables and Grading

Method of evaluation and grading:

1）There will be six mandatory problem sets which will be individually graded. At the end of the term students will have the best eight homework grades cumulated up and this will count for 30% of the final course grade.

2）There will also be a two hour final, which will be cumulative and cover all of the course materials. This will count as the remaining 70% of the grade.

Calculus II

Shandong University of Finance and Economics

Course Code：

Total Number of Instruction Hours: 68 hours

Number of Credits：4

About this Course

This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms. Students will study differential and integral calculus for polynomial, exponential and logarithmic functions and their applications to curve sketching, maxima, and minima. Upon completion, students should be able to select and use appropriate models and techniques for finding solutions to integral-related problems with and without technology.

Prerequisites and Preparation

Calculus II

Course Goals

The aims of this module are:

·         to introduce the basic concepts of integral calculus.

·         Select and apply appropriate models and integration techniques to solve problems involving algebraic.

·         and transcendental functions; these problems will include but are not limited to applications involving.

·         Evaluate proper and improper integrals using various integration techniques.

·         to provide students with the requisite background in calculus for year 2 modules.

The outline of this module are:

·         Unit 4: Differentiation

·         Unit 5: Applications of the Derivative

·         Unit 6: Integration

·         Unit 7: Applications of the Definite Integral

On completion of this module, students should be able to:

·         demonstrate understanding of and apply the basic techniques of calculus.

·         differentiate elementary functions, products, quotients, and composite functions.

·         determine the stationary points of a function (of one or more variables) and interpret the results graphically.

·         identify appropriate integration techniques in a given situation.

Course Components and Requirements

·         Class exercises

·         Lectures

·         Six problem sets

·         Final Exam

Assigned Readings

Calculus for Business, Economics, Life Sciences, and Social Sciences, by Michael R. Ziegler, Karl E. Byleen

Thomas' Calculus, by George B. Thomas

Deliverables and Grading

Method of evaluation and grading:

1）There will be six mandatory problem sets which will be individually graded. At the end of the term students will have the best eight homework grades cumulated up and this will count for 30% of the final course grade.

2）There will also be a two hour final, which will be cumulative and cover all of the course materials. This will count as the remaining 70% of the grade.