MTH149 - Foundations of Mathematics
Semester | |
School | |
Last revision date | 2017-05-29 00:38:34.423 |
Last review date | 2017-07-17 00:16:15.085 |
Subject Title
Foundations of Mathematics
Subject Description
This course provides a review of fundamental math concepts. These essential math skills are required for success in college programs requiring a solid foundation in mathematics. It is designed to meet the needs of individuals that have completed Grade 12 math but need a quick review in preparation for college level or skills training programs. Successful completion of the course is generally accepted as equivalent to a Grade 12 standing in mathematics. It does not, however, qualify the student for an Ontario Grade 12 math credit.
Credit Status
Credit
Learning Outcomes
Upon successful completion of this subject the student will be able to:
1. Demonstrate an understanding of basic mathematical principles.
2. Perform operations involving fractions, decimals, ratios, and percentages.
3. Solve, factor, and graph algebraic equations, quadratic equations, and inequalities.
4. Apply principles of geometry involving points, lines, angles, plane figures, and solid figures.
5. Evaluate basic trigonometric functions and apply the Laws of Sine and Cosine.
6. Understand the concepts of exponential and logarithmic functions.
7. Solve word problems in each of these mathematical topics.
Essential Employability Skills
Respond to written, spoken, or visual messages in a manner that ensures effective communication.
Execute mathematical operations accurately.
Apply a systematic approach to solve problems.
Use a variety of thinking skills to anticipate and solve problems.
Locate, select, organize, and document information using appropriate technology and information systems.
Show respect for diverse opinions, values, belief systems, and contributions of others.
Interact with others in groups or teams in ways that contribute to effective working relationships and the achievement of goals.
Manage the use of time and other resources to complete projects.
Take responsibility for one's own actions, decisions, and consequences.
Cheating and Plagiarism
Each student should be aware of the College's policy regarding Cheating and Plagiarism. Seneca's Academic Policy will be strictly enforced.
To support academic honesty at Seneca College, all work submitted by students may be reviewed for authenticity and originality, utilizing software tools and third party services. Please visit the Academic Honesty site on http://library.senecacollege.ca for further information regarding cheating and plagiarism policies and procedures.
Discrimination/Harassment
All students and employees have the right to study and work in an environment that is free from discrimination and/or harassment. Language or activities that defeat this objective violate the College Policy on Discrimination/Harassment and shall not be tolerated. Information and assistance are available from the Student Conduct Office at student.conduct@senecacollege.ca.
Accommodation for Students with Disabilities
The College will provide reasonable accommodation to students with disabilities in order to promote academic success. If you require accommodation, contact the Counselling and Disabilities Services Office at ext. 22900 to initiate the process for documenting, assessing and implementing your individual accommodation needs.
Prerequisite(s)
Grade 12C Math or Equivalent
Topic Outline
1. Introduction to Numbers
Rounding, Order of Operations, Least Common Muliples
Real Numbers: Addition, Subtraction, Multiplication and Division
2. Fractions
Fraction Notation and Simplifying
Converting between fraction and mixed numerals
Addition, Subtraction, Multiplication and Division
3. Decimal Numbers
Decimal Notation and Rounding
Converting between fraction and mixed numerals
Addition, Subtraction, Multiplication and Division
4. Ratio and Proportion
5. Percentages
Converting between Percentages and Decimals or Fractions
Applications: Percent of Increase or Decrease, Sales Tax, Commission, Discount, Simple Interest and Compound Interest.
6. The Metric System and Other Systems of Measurement
American and Metric Linear Measures, Capacity and Mass
Conversions within American or Metric System, between American and Metric System
Time and Temperature
7. Algebra and Formulae
Simplifying Expressions, Order of Operations
Solving Equations, Evaluating and Solving Formulas
Exponents and Scientific Notation
8. Geometry
Segments, Rays, Lines, Angles and Polygons
Perimeter and Area: Rectangles, Squares, Parallelograms, Triangles, Trapezoids and Circles
Volume and Surface Area: Rectangular Solids, Cube, Cylinders, Spheres and Cones
Relationships between Angle Measures: Complementary and Supplementary Angles, Congruent Segments and Angles, Vertical Angles, Transversals and Angles
Congruent and Similar Triangles, Properties of Parallelograms
9. Linear Equations and Graphing
Graphing Linear Equations using Tables, Intercepts, Slopes and y-intercept
Finding Equations of Lines and Applications: Slope and y-intercept, Slope and a point, Two points, Parallel or Perpendicular Lines and a point.
Solving Systems of Equations in Two Variables by Graphing, Substitution and Elimination
10. Sets and Inequalities
Intersections and Unions
Solving and Graphing Inequalities
Absolute-value Equations and Inequalities
11. Polynomials: Operations and Factoring
Polynomials: Addition, Subtraction, Multiplication and Division
Factoring: Grouping, Trinomials, Trinomial Squares, Differences of Squares, Sums or Differences of Cubes
Solving Quadratic Equations by Factoring
12. Rational Expressions and Equations
Rational Expressions: Simplifying, Addition, Subtraction, Multiplication, and Division
Simplifying Complex Rational Expressions
Solving Rational Equations
13. Quadratic Equations and Graphing
Quadratic Equations, Solving by Principle of Square Roots, Completing the Square and Quadratic Formula; Graphing
14. Trigonometry
Right-angled Triangle and Pythagorean Theorem
Trigonometric Ratios; Sine, Cosine, Tangent, Cosecant, Secant, Cotangent
Applicatoins of Right Triangles: Angle of Elevation, Angle of Depression and Concept of Bearing
Converting between Degree and Radian Measure
Graphs of Sine, Cosine and Tangent Functions
Applications: Laws of Sines and Cosines
15. Radical Expressions, Functions, Exponential and Logarithmic Functions
Simplifying Radical Expressions
Functions: Definition, Domain, Range, Graphs, Vertical-line Test, Inverse and Composite Functions
Solving Exponential and Logarithmic Equations
Mode of Instruction
Your professor will use a variety of appropriate teaching modes and techniques, such as the following: lecture, question and answer, tutorials, classroom discussion, group work, individual and/or
group presentation, computer-aided instruction, consultation, etc.
Prescribed Texts
Online:
Developmental Math ALC with Custom Math & Trigonometry Supp RVP
Publisher: Pearson Education Canada. Authors: Marvin L. Bittinger & Judith A. Beecher.
ISBN-10: 132303580X
In Class:
Developmental Math ALC
Publisher: Pearson Education Canada. Authors: Marvin L. Bittinger & Judith A. Beecher.
ISBN-13: 9780133919981
Reference Material
None
Required Supplies
None
Promotion Policy
A+ | 90% to 100% |
A | 80% to 89% |
B+ | 75% to 79% |
B | 70% to 74% |
C+ | 65% to 69% |
C | 60% to 64% |
D+ | 55% to 59% |
D | 50% to 54% |
F | 0% to 49% (Not a Pass) |
OR | |
EXC | Excellent |
SAT | Satisfactory |
UNSAT | Unsatisfactory |
For further information, see a copy of the Academic Policy, available online (http://www.senecacollege.ca/academic-policy) or at Seneca's Registrar's Offices.
Modes of Evaluation
To be successful in this course, you must complete all course work as specified and achieve an overall grade of 50% or higher. For further information on evaluation and academic standing, see a copy of the Academic Policy available at Seneca registration offices.
Term Work: All term work assignments must be completed prior to the time of the examination. Unless students have been granted an extension in advance, late take-home assignments will be
penalized one letter grade per day and will not be graded after one week (there is no provision for rewriting late assignments, regardless of the grade). Students must contact faculty in advance of
due date to discuss extensions.
If a student has to miss any in-class quiz/test, he/she must notify the faculty via email or phone messages prior to start time of the quiz/test date. Valid documentation
(such as original stamped doctor's note) must be submitted to the faculty on or before the next scheduled class. Make-up opportunities may be arranged at the Test Centre.
Grading Scheme: | |
Tests (3x) | 55% |
Assignments | 10% |
FINAL EXAM | 35% |
ONLINE STUDIES
Modes of Evaluation
For further information on evaluation and academic standing, see a copy of the Academic Policy available at: http://www.senecac.on.ca/academic-policy/
Grading is based on the following marking scheme:
Test 1 | 15% |
Test 2 | 25% |
Project | 15% |
Group Discussion | 10% |
FINAL EXAM | 35% |