MATH

MATH 0102 (Mathematics)

This basic course is designed to help alleviate specific weaknesses in the student’s basic mathematical skills.

Number Sense and Number Manipulation; Basic Algebra; Plane Geometry; Triangle Trigonometry

**Prerequisites** - Entry into the Marine Diesel Mechanics Program

**Duration** - 13 weeks

**Lectures** - 3 one-hour classes/week

MATH 0103 (Mathematics)

This course is designed to ensure students have a solid foundation in basic mathematics and related concepts.

Topics covered will assist students in better understanding concepts encountered in other courses.

Whole Numbers; Decimal Fractions; Common Fractions; Percentages; Angular Measurement; Introduction to SI Units; Perimeters; Areas; Volumes; Practical Applications.

**Duration** - 10 weeks (30 hours)

**Lectures** - 3 hours/week

MATH 0200 (Mathematics)

This introductory course is designed to strengthen the student’s technical and mathematical skills and to enhance their problem solving ability; therefore, providing them with a solid foundation for a career as a marine mechanic.

Applied Linear Measure; Applied Area Measure; Applied Volume and Surface Area; Ratio and Proportion; and Shop Formulas.

**Prerequisite** - MATH 0102 (Mathematics)

**Duration** - 13 weeks

**Lectures** - 3 hours/week

MATH 1100 (Pre-Calculus)

This is a course in pre-calculus mathematics designed to help alleviate specific weaknesses in students’ mathematical skills and thereby increase their chances for success in other technical courses.

Review of Fundamental Algebra; Trigonometry; Operations Involving Algebraic Expressions; Quadratic Equations; Exponents and Radicals; Logarithms; Systems of Linear Equations.

**Prerequisite** - None

**Duration** - 13 weeks

**Lectures** - 5 hours/week

**Math Lab Hours** - 1 hour/week

**Total** - 78 hours

**OR**

**Duration**- 8 weeks

**Lecture Hours **- 8 hours/week

**Math Lab Hours** - 2 hours/week

**Total** - 80 hours

MATH 1101 (Introduction to Calculus)

This is a course designed to prepare students for the study of calculus as well as to introduce them and give them a facility with the concepts of differentiation necessary for a better understanding of a variety of technology courses.

Functions; Analytic Geometry; Trigonometry; Algebraic Operations and Complex Numbers; The Derivative.

**Prerequisite** - MATH 1100 (Pre-Calculus)

**Duration** - 13 weeks

**Lectures** - 5 hours/week = 65 hours total

**OR**

**Duration** - 8 weeks

**Lectures** - 8 hours/week for a total of 64 hours

MATH 1112 (NASC Mathematics I)

This is a course in pre-calculus mathematics designed to help alleviate specific weaknesses in students’ fundamental mathematical skills and thereby increase their chances for success in the Nautical Science technology program.

Review of Fundamental Algebra; Trigonometry; Vectors; Operations Involving Algebraic Expressions; Quadratic Equations; Exponents and Radicals; Systems of Linear Equations; Analytical Geometry.

**Duration** - 13 weeks

**Lectures** - 6 hours/week for a total of 78 hours

MATH 1114 (Math for Mariners)

This is a course in pre-calculus mathematics provides grounding in topics required for later technical courses.

Review of Fundamental Algebra; Trigonometry; Operations Involving Algebraic Expressions; Quadratic Equations; Exponents and Radicals: Logarithms; Systems of Linear Equations

**Prerequisite** - None

**Duration - **13 weeks

**Lecture hours - **5 hours/week

**Total - **65 hours

**OR**

**Duration - **8 weeks

**Lectures Hours - **8 hours/week

**Total - **64 hours

MATH 1115 (Pre-Calculus)

This is a course in pre-calculus mathematics provides grounding in topics required for later technical courses.

Review of Fundamental Algebra; Trigonometry; Operations Involving Algebraic Expressions; Quadratic Equations; Exponents and Radicals: Logarithms; Systems of Linear Equations

**Prerequisite - **None

**Duration - **13 weeks

**Lecture hours - **5 hours/week

**Total - **65 hours

**OR**

**Duration - **8 weeks

**Lectures Hours - **8 hours/week

**Total - **64 hours

MATH 1200 (Calculus)

In this course students will study topics in differential calculus and will also be introduced to integral calculus.

Topics covered will assist students to better understand concepts encountered in other courses.

Curve Sketching; Transcendental Functions and Their Derivatives; Applications of the Derivative; Differentials; Introduction to Integration; The Definite Integral; Further Applications of Indefinite and Definite Integrals.

**Prerequisite - **MATH 1101 (Introduction to Calculus) or MATH 1105 (Introduction to Calculus)

**Duration - **13 weeks

**Lectures - **5 hours/week = 65 hours total

**OR**

**Duration - **8 weeks

**Lectures - **8 hours/week for a total of 64 hours

**OR**

**Duration - **6 weeks

**Lectures - **11 hours/week = 66 hours total

MATH 1212 (NASC Mathematics II)

This is a course comprised of a variety of topics designed to meet specific needs of the Nautical Science Diploma Program.

Mensuration; Ratio, Proportion, and Linear Interpolation; Geometry; Analytic Geometry; Moments and Centre of Gravity; Simpson’s Rules; Trigonometric Graphs and Identities; Spherical Trigonometry; Statistics.

**Prerequisite** - Successful completion of MATH 1100 (Pre-Calculus), MATH 1111 (NASC Mathematics I), MATH 1112 (NASC Mathematics I) or MATH 1114 (Mathematics for Mariners)

**Duration - **13 weeks

**Lectures - **5 hours/week for a total of 65 hours

**OR**

**Duration - **8 weeks

**Lectures - **8 hours/week for a total of 64 hours

MATH 1213 (Math for Map Makers)

This course is designed to introduce students to mathematical concepts used in all courses in the ocean mapping program. It will expand on their knowledge of linear equations and introduce spherical trigonometry, determinants, linear interpolation, and vectors.

Linear Equations and Matrices; Plane Geometry; Spherical Trigonometry; Linear Interpolation; Vectors

**Prerequisites - **MATH 1100 (Pre-Calculus)

**Duration - **13 weeks

**Lectures - **3 hours/week

MATH 1214 (MENG Mathematics)

This course covers the remaining mathematics learning objectives required to support engineering knowledge, understanding and proficiency for an Officer in Charge of an Engineering Watch, and Chief and Second Engineer Officer as defined under IMO Model courses 7.04 and 7.02.

Mensuration; Ratio, Proportion, and Linear Interpolation; Moments and Centre of Gravity; Simpson's Rules; Trigonometric Graphs and Identities

**Prerequisites - **MATH 1100 (Pre-Calculus) or MATH 1114 (Mathematics for Mariners)

**Duration - **13 weeks

**Lecture hours - **4 hours/week

**Total - **52 hours

**OR**

**Duration - **8 weeks

**Lecture hours - **6 hours/week

**Total - **48 hours

MATH 1215 (Introduction to Calculus)

This is a course designed to introduce to the concepts of differentiation and integration.

Functions; Trigonometry; The Derivative; Introduction to Integration; The Definite Integral

**Prerequisites - **MATH 1100 (Pre-Calculus); MATH 1114 (Mathematics for Mariners) or equivalent

**Duration - **13 weeks

**Lectures - **5 hours/week

MATH 2101 (Advanced Calculus)

This is primarily an applied calculus course designed to meet the specific requirements of various technology and degree programs.

Integration Techniques; Applications of Integration; Double Integration; Differential Equations.

**Prerequisite - **MATH 1200 (Calculus) or equivalent

**Duration - **13 weeks

**Lectures - **5 hours/week = 65 hours total

**OR**

**Duration - **8 weeks

**Lectures - **8 hours/week = 64 hours total

MATH 2205 (Applications of Derivatives and Integrals)

In this course students will study topics in both differential and integral calculus. Topics covered will assist students to better understand concepts encountered in other courses.

Curve Sketching; Applications of the Derivative; Introduction to Integration; The Definite Integral; Further Applications of Indefinite and Definite Integrals

**Prerequisite - **MATH 1101 OR MATH 1105

**Duration - **13 weeks

**Lectures - **4 hours/week = 52 hours total