COCS 324

Course Objectives:

To introduce the students the fundamental of calculus and algebra which include early preparation of graph and function sketching?

To fit mathematical model of data.

Course Description: 

This course introduce the students the fundamental of calculus which include early preparation of graph and function sketching, and fitting mathematical model of data. Students will be taught fundamental differentiation and its application, integration with application of integration, conic and parametric equation, vector and geometry of space, vector valued function, and function of several variables

Course Outlines: 

Limit

Introduction

Computing Limits

Continuity

Differentiation and Application of Differentiation

Introduction

Definition and interpretation of differentiation

Product and quotient rule

Rate of change and tangent lines

Minimum and maximum values

Integration and Application of Integration

Introduction

Computing indefinite integral

Substitution rule

Area problem – computing definite integrals

Conic and Parametric Equation

Introduction

Conic and Parametric equation and curve

Tangent and area

Vector, Vector Valued Function and Geometry of Space

Introduction

Vector arithmetic

Dot and cross product

Vector function

Function of Several Variables

Calculus of Vector function

Tangent and normal of vector function

Matrices and Application

Introduction

Calculus of matrices

Determinants and inverse

Course outcomes 

Upon finishing this course, the students should be familiar with

Differentiation and its application

Integration and its application

Conic and Parametric Equation

Vector,  Vector Valued Function and Geometry of Space

Function of Several Variables

Matrices and Application

Assessment Strategy:

Students will be assessed in this course based on a set of exams, quizzes and practical parts of it.