** Learning Methods**

Use of active learning methods such as interactive lecture, individual and group activities, problem solving and cooperative learning including the use of mathematics software and videos

** Major Focus**

Small class size, enhanced teacher-students interaction, use of instructional scaffolding and students’ prior knowledge and skills as a basis for building new mathematical knowledge

** The AC Difference**

The focus is on the development of student's mathematical thinking and behavior which consist of thinking in logical manner, constructing models to describe phenomena, and problem solving

** Career Outlook**

Mathematics develops quantitative skills and analytical abilities that are crucial in various career fields including science and engineering, finance, computing, robotic, animated film etc./p>

Select a course below to see full descriptions. (#) Indicates amount of credits per course.

- MATH 099 Fundamentals of Algebra with Trigonometry (0)
- MATH 100 Precalculus (3)
- MATH 104 Differential Calculus w/Applications to Commerce & Social Sciences (3)
- MATH 105 Integral Calculus w/Applications to Commerce & Social Sciences (3)
- MATH 115 Discrete Mathematics (3)
- MATH 151 Calculus I (3)
- MATH 152 Calculus II (3)
- MATH 232 Elementary Linear Algebra (3)
- MATH 251 Multivariable Calculus (3)
- MATH 255 Ordinary Differential Equations (3)
- STAT 200 Introduction to Statistics (3)

This is a bridging course to provide students with the fundamental mathematical knowledge necessary for success in university-level mathematics.

**Prerequisite(s):**

ENGL 097

**Transfers to:**

Not Available

Algebraic, exponential, logarithmic and trigonometric functions and their graphs. Conic sections, applications.

**Prerequisite(s):**

ENGL 097, MATH 11 (B) or MATH 12 (C) or MATH 099 (C)

**Transfers to:**

SFU MATH 100 (3)

UVic MATH 120 (1.5)

UNBC MATH 115 (3)

TRU MATH 1000 (3)

Derivatives and rates of change, exponential and trigonometric functions, Newton's method, Taylor series, maxima and minima, and graphing.

**Prerequisite(s):**

ENGL 097, Math 12 (C+) or Math 100 (C)

**Preclusions:**

Students with credit for MATH 151 may not take MATH 104 for further credit.

**Transfers to:**

UBC MATH 104 (3)

SFU MATH 157 (3)

UVic MATH 102 (1.5)

UNBC MATH 100 (3), Precludes credit for UNBC MATH 152

TRU MATH 1140 (3)

Antiderivatives, Integration, Multivariable Calculus, Differential Equations, Probability, and their applications in economics, commerce, and business administration. Students may receive credit for only one of Math 104 or Math 151; Math 105 or Math 152.

**Prerequisite(s):**

ENGL 097, MATH 104

**Preclusions:**

Students with credit for MATH 152 may not take MATH 105 for further credit

**Transfers to:**

UBC MATH 105 (3)

SFU MATH 158 (3)

UVic MATH 101 (1.5)

UNBC MATH 101 (3)

TRU MATH 1240 (3)

Offers an intensive introduction to discrete mathematics. Topics include: functions, relations, sets, cardinality, propositional and predicate logic, proof techniques, combinatorics, discrete probability, asymptotic notation, and an introduction to elementary number theory and abstract algebra. The course will provide a basis to study higher level mathematics.

**Prerequisite(s):**

ENGL 097, MATH 12 (C) or MATH 100 (C)

**Preclusions:**

Students with credit for CPSC 115 may not take MATH 115 for further credit.

**Transfers to:**

UBC CPSC 1st (3), Exempt from UBCV CPSC 121

SFU MACM 101 (3)

UVic MATH 122 (1.5)

UNBC CPSC 141 (3) or UBCV MATH 1XX (3), Must have C- or better to use as a prerequisite

Functions and graphs, conic sections, limits and continuity, derivatives, techniques and applications of differentiation, trigonometric functions, logarithms and exponentials, extrema, the mean value theorem and polar co-ordinates. Students may receive credit for only one of Math 104 or Math 151; Math 105 or Math 152.

**Prerequisite(s):**

ENGL 097, Math 12 (B) or Math 100 (C)

**Preclusions:**

Students with credit for MATH 104 may not take MATH 151 for further credit

**Transfers to:**

UBC MATH 100 (3)

SFU MATH 151 (3)

UVic MATH 100 (1.5)

UNBC MATH 100 (3), Precludes credit for UNBC MATH 152

TRU MATH 1140 (3)

Integrals, techniques and applications of integration, approximations, sequences and series, area and arc length in polar co-ordinates. Students may receive credit for only one of Math 104 or Math 151; Math 105 or Math 152.

**Prerequisite(s):**

ENGL 097, MATH 151

**Preclusions:**

Students with credit for MATH 105 may not take MATH 152 for further credit

**Transfers to:**

UBC MATH 101 (3)

SFU MATH 152 (3)

UVic MATH 101 (1.5)

UNBC MATH 101 (3)

TRU MATH 1240 (3)

Matrix arithmetic, linear equations, and determinants. Real vector spaces and linear transformations. Inner products and orthogonality. Eigen values and eigenvectors.

**Prerequisite(s):**

ENGL 098, MATH 151, MATH 104 (B), or MATH 105

**Transfers to:**

UBC MATH 221 (3)

SFU MATH 232 (3)

UVic MATH 211 (1.5)

UNBC MATH 220 (3)

TRU MATH 2120 (3)

Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem.

**Prerequisite(s):**

ENGL 098, MATH 152 or MATH 105(B)

**Transfers to:**

UBC MATH 200 (3)

SFU MATH 251 (3)

UVic MATH 200 (1.5)

UNBC MATH 2XX (3)

TRU MATH 2110 (3)

This is a first course in the theory of ordinary differential equations. Topics include the solution of first- and higher order differential equations (ODEs), power series solutions, Laplace transforms, linear and non-linear systems, stability, Euler methods and applications. Analytic and quantitative methods will be used to investigate the solutions to ODEs and discuss their behavior.

**Prerequisite(s):**

ENGL 098, MATH 152 or MATH 105 (B)

**Transfers to:**

UBC MATH 255 (3)

SFU MATH 310 (3)

UVic MATH 2XX (1.5)

UNBC MATH 2XX (3))

TRU MATH 2240 (3)

Statistical research methodology and associated analysis techniques aimed at a non-mathematical audience (non-calculus based). This course introduces procedures that are most commonly used in the investigation of survey and experimental data.

**Prerequisite(s):**

ENGL 098, MATH 12 (C) or MATH 100, and completion of at least 9 post-secondary credit hours

**Transfers to:**

UBC STAT 200 (3)

SFU STAT 201 (3)

UVIC STAT 255 (1.5)

UNBC STAT 240 (3)

TRU STAT 2000 (3) or TRU ECON 2320 (3)

Kamran Fakhar
#### Kamran Fakhar

**Instructor**

Instructor

Kamran Fakhar is a Mathematics Instructor at Alexander College, since 2016.

He received his Ph.D. in applied mathematics in 2005 from USTC, post doctorate at ICTS from 2005-2007 and a research associate position in UBC since 2014.

He has published over 40 research articles in international referred journals. He also supervised two PhD and five master’s students.

Kamran has more than 12 years of teaching experience which includes teaching mathematics at different levels at different universities and colleges inside and outside Canada.

He also has won several scholarships, academic awards, medals and distinctions certificates during his academic carrier.

Dr. Krishna Subedi
#### Dr. Krishna Subedi

**Instructor**

Instructor

I joined Alexander college in 2009 as a mathematics instructor in mathematics department and has been teaching various mathematics courses ever since.

I hold several degrees in Mathematics and Mathematics education; an M.A. (Mathematics) from Tribhuvan University, Nepal; an M.Ed. (Mathematics emphasis) from Endicott College, USA, and a Ph.D. from Simon Fraser University, Canada.

My research interests are in the field of theories and pedagogical practices in mathematics education.

I am interested at exploring how teachers and students deal with mathematical abstraction in teaching and learning in an attempt to translate abstract mathematical concepts into understandable ideas.

Telyn Chan-Kusalik
#### Telyn Chan-Kusalik

**Instructor**

Instructor

I am a Mathematics Instructor and the Math and Science Department Coordinator at Alexander College. I have taught at the University of the Fraser Valley, Vancouver Community College, Thompson Rivers University, and Champlain Regional College.

I hold an M.Sc. in Pure Mathematics from McGill University, a B.A. (honours) in Mathematics and Philosophy from Queen's University, and a Provincial Instructor's Diploma from Vancouver Community College.

I take a teaching approach which is technology-intense and learner-centred, and I ensure that students in my classes are encouraged to participate.

In my studies, I took an interest in Foundations of Mathematics, but my more recent research interests lie in Teaching and Learning.

I like getting a chance to meet students, colleagues, and others interested in my work. Contact me at t.kusalik@alexandercollege.ca or stop by my office hours.

Luc Lapierre
#### Luc Lapierre

**Instructor**

Instructor

Luc Lapierre obtained an M.Sc. in pure mathematics from Simon Fraser University in 2016. He joined Alexander College in January 2017, and has enjoyed teaching there ever since.

Luc's research portfolio centers on cryptographic primitives arising from finite fields of characteristic two, and algebraic graph theory.

Aside from learning and sharing mathematics, Luc enjoys olympic weightlifting, ice hockey, and caring for his five rabbits.

BCcampus Open Education is an open-source textbook on various subjects including mathematics and statistics and is partly supported by the BC Ministry of Advance Education.

Openstax CNX is an open source platform which contains textbooks and educational materials in variety of subjects from school, college and university level students to professionals.

Khan Academy is not-for-profit organization that offers short instructional videos on many topics in mathematics and other subjects and offers practice exercises as well.

Wolfram Alpha is a computational knowledge engine that can graph various functions and perform computation related to elementary mathematics to advance mathematics including calculus, linear algebra and statistics.

Symbolab is an online "answer engine" that computes step-by-step solutions to mathematical problems in a variety of topics.

Mathworld has extensive math resource of all kinds. There is an alphabetical index by topic, interactive entries, Mathworld classroom, and Wolfram Alpha (a computational knowledge engine).

EqWorld provides information on solution to various classes of ordinary/ partial differential and other mathematical equations. It also provides links to other mathematical websites and software packages.

Geogebra is a dynamic mathematics software that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one single mathematical package.

This calculator supports computing higher order derivatives of function of one or more variables (partial derivatives) including implicit differentiation and calculating roots/zero.

This calculator supports computing definite and indefinite integrals (antiderivatives) with one or more variables (double integrals).

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