Course Lecturer Name(s): Sally-Ann Clement
Course Director Name: Dr. Senthilkumar Somasundaram
Course Lecturer(s) Contact Information: sclement@sgu.edu
Course Director Contact Information: ssomasun@sgu.edu
Course Lecturer(s) Office Hours: Every Wednesday at 7pm & by appointment request
Course Lecturer(s) Office Location: Founders Library East Wing
Course Director Office Location: Department Of Computers and Technology
Course Support: Mary Celestine, mcelesti@sgu.edu, Ext. 3601
Course Management tool: To learn to use Sakai, the Course management tool, access the link https://apps.sgu.edu/members.nsf/mycoursesintro.pdf
Course Description:
This course is designed for Arts and Sciences majors and it provides a working knowledge of collegelevel mathematics and its applications. The following topics will be covered in this course: Computation, Measurement, Algebra, Relations, Functions and Graphs, Geometry and Trigonometry, Matrices and Vectors.
Course Objectives:
This course aims to help students develop and demonstrate problem solving strategies using mathematical concepts and to communicate mathematical ideas orally and in writing.
Student Learning Outcomes:
Upon completion of this course, students will be able to:
- Perform operations on real numbers and polynomials.
- Simplify algebraic, rational, and radical expressions.
- Solve both linear and quadratic equations and inequalities.
- Graph linear, quadratic etc. functions.
- Solve and graph exponential and logarithmic equations.
- Make basic operations with matrices and vectors; apply matrices to solve systems of linear equations
Program Outcomes Met By This Course:
SAS Grading Scale: Grades will be assigned as follows:
A = 89.5% or better
B+ = 84.5 - 89.4%
B = 79.5 - 84.4%
C+ = 74.5 - 79.4%
C = 69.5 - 74.4%
D = 64.5 - 69.4%
F = 64.4% or less
Course Materials:
Text:Thinking Mathematically, 5th Edition, Robert Blitzer, Miami-Dade College, Pearson Prentice Hall.
Supplementary Readings/Resources:
Course Grading Requirement:
- Midterm exam: 25%
- Final exam: 25%
- Assignments: 10%
- Pop-up Quizzes: 15%
- In Class Quizzes: 20%
- Class participation and attendance: 5%
Course Requirements:
Students will be required to:
- be prepared for class;
- contribute thoughtful ideas to class discussions;
- conduct themselves in an appropriate manner, including being respectful of the opinions of others; - listen carefully to instructions given by lecturer; if you do not understand, ask the lecturer.
Course Schedule:
Week 1 –
- Course syllabus and Review Review:
- Factors, Multiple, Prime Numbers, Prime Factorization, Integers,
- Computation: Order Of Arithmetic Operations, BOMDAS/BODMAS Rational and Irrational numbers (Surds)
Week 2
- Irrational numbers (Surds)
- Arithmetic Progression
Week 3
- Arithmetic Progression, Geometric Progression
Week 4
- Linear Equations: Calculate the gradient, x and y Intercepts of Linear Equations.
- Sketch Linear Equations Using Intercepts of the Linear Equations
- Applications of Linear Equations, Ratio, Proportion & Variation
Week 5
- Relations, Functions and Graphs
- Solve Inequalities (One Variable)
- Take Home 1 ( Tuesday)
Week 6
- Return Take Home 1 (Tuesday)
- Factorize Quadratic Trinomials,
- Solve Quadratic Equations ( Use of Quadratic Formula) Simplify functions, Find the inverse of a function.
- In- Class Quiz 1 (Thursday)
Week 7 –
- Return In-Class Quiz 1 (Tuesday)
- Midterm Review
Week 8 –
- - Midterm Examination
Week 9 – 11 (Matrices)
Week 9
- Matrix Algebra
- Add, Subtract and Multiply Matrices
Week 10
- Inverse of a 2x2 matrix,
- Solve Linear Systems of second order (Matrix Method) Calculate the Determinant of a 3x3 Matrix
- Solve Linear Systems of third order (Cramer’s Rule)
Week 11
- Solve Linear Systems of third order:Reduce Row Echelon Method
- Determine the inverse of a 3x3 Matrix
- Solve Linear Systems of third order by Matrix Method
Week 12
- Geometry
- Calculate the Perimeter/Area of: Rectangle, Square, Circle, Cuboid, Cylinder, Trapezium
- Calculate the Volume of: Cuboid, Cylinder, Cone,
- Use of Trig Ratios (Sine, Tan, Cos), Pythagoras’ Theorem.
Week 13
- Take Home 2 (Tuesday)
- Exponential and logarithmic functions and equations
- Simplify Logarithmic expressions (Without the use of a calculator)
- Solve simple Logarithmic equations
Week 14 –
- Return Take Home 2 (Tuesday)
- Vectors
- Calculate the Length of a vector
- Identify Orthogonal Vectors
- Calculate the Dot (Scalar) Product of two Vectors.
- In-Class Quiz 2 (Thursday)
Week 15 –
- Return In-Class Quiz 2 (Tuesday)
- Introduction to Statistics;
- Mean, Mode and Median of ungrouped data; Basics of Normal Distribution Review
Week 16 –
- Final Examination
School of Arts and Sciences Master Syllabi — Info for All Sections
Academic Integrity
The St. George’s University Student Manual (2019/2020) states as follows:
“Plagiarism is regarded as a cardinal offense in academia because it constitutes theft of the work of someone else, which is then purported as the original work of the plagiarist. Plagiarism draws into disrepute the credibility of the Institution, its faculty, and students; therefore, it is not tolerated” (p. 48).
Plagiarism also includes the unintentional copying or false accreditation of work, so double check your assignments BEFORE you hand them in.
Be sure to do good, honest work, credit your sources and reference accordingly and adhere to the University’s Honor Code. Plagiarism and cheating will be dealt with very seriously following the university’s policies on Plagiarism as outlined in the Student Manual.
Your work may be subject to submission to plagiarism detection software, submission to this system means that your work automatically becomes part of that database and can be compared with the work of your classmates.
The St. George’s University Student Manual (2019/2020) states as follows:
“Students are expected to attend all classes and or clinical rotations for which they have registered. Although attendance may not be recorded at every academic activity, attendance may be taken randomly. Students’ absence may adversely affect their academic status as specified in the grading policy. If absence from individual classes, examinations, and activities, or from the University itself is anticipated, or occurs spontaneously due to illness or other extenuating circumstances, proper notification procedures must be followed. A particular course may define additional policies regarding specific attendance or participation” (p. 9).
The St. George’s University Student Manual (2019/2020) states as follows:
“All matriculated students are expected to attend all assigned academic activities for each course currently registered. Medical excuses will be based on self-reporting by students. Students who feel they are too sick to take an examination or other required activity on a specific day must submit the online SAS medical excuse, which is available on Carenage. Students are only allowed two such excuses a year. Upon consultation with the Director of University Health Service, the third excuse will result in a mandatory medical leave of absence. The policies regarding make-up examinations are at the option of the Course Director” (p.46).
For additional specific examination policies and procedures, refer to the St. George’s University Student Manual (2019/2020), pages 31 through 37.
The St. George’s University Student Manual (2019/2020) states as follows:
“A student with a disability or disabling condition that affects one or more major life activities, who would like to request an accommodation, must submit a completed application form and supporting documentation to the Student Accessibility and Accommodation Services (SAAS) located in the Dean of Students Office. It is highly recommended that students applying for accommodations do so at least one month before classes begin to allow for a more efficient and timely consideration of the request. If a fully completed application is not submitted in a timely fashion, an eligibility determination may not be made, and accommodations, where applicable, may not be granted prior to the commencement of classes and/or examinations” (p. 8).
It is the responsibility of the student to read and understand the policies, laws, rules and procedures that while they could affect your grade for a course, have not been specifically outlined in the course syllabus. These are contained in the St. George’s University Student Manual.