Program Curriculum

Program Curriculum

Langara's Certificate in Arts and Science (Engineering) is a BCCAT articulated program providing courses to match the first year of engineering study at the University of British Columbia. Those courses satisfy the UBC Faculty of Applied Science requirements for engineering transfer classification when completed in the regular two-semester academic year.

At Langara, theCertificate in Arts and Science (Engineering) can serve as the first year towards a Diploma in Arts and Science or an Associate of Science Degree. The certificate is awarded upon completion of the courses with a minimum CGPA of 2.5, which must be earned in a period of no longer than five consecutive semesters.

CURRICULUM

Total Credits: 40-43

Term One

Courses Credits
All of
APSC 1000 Introduction to Engineering I
0

Lecture Hours: 0.0 | Seminar: 0.5 | Lab: 0.0

A seminar course for all students in the engineering transfer program. Registration in this course is restricted to students admitted to the engineering transfer program.

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CHEM 1154 Engineering Chemistry
4

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 2.0

A survey of first-year chemistry, including quantum mechanics with application to electronic structure, thermodynamics with application to electrochemistry and phase equilibria, and also topics in intermolecular forces, gas law, crystal structure, and aqueous equilibria.Priority registration in this course is offered to students admitted to the Certificate in Arts and Science (Engineering).Prerequisite(s): A minimum "B" grade in Chemistry 12 or equivalent; a minimum "C+" grade in CHEM 1118; or CDT results for CHEM 1120; and a minimum "C" grade in Precalculus 12, MDT 75, or MATH 1152. Prerequisites are only valid for three years.

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CPSC 1091 Engineering Design and Drafting
3

Lecture Hours: 2.0 | Seminar: 0.0 | Lab: 2.0

Formerly CPSC 1090Amongst the many skills required of engineers is the ability to clearly communicate their designs and engineering analyses using both verbal and graphical languages. In this project-based course, students explore the engineering design process and develop their ability to use engineering communication tools. Working in teams, they examine the technical background of a well-defined problem and use engineering drawing and CAD to design potential solutions. Through this process, students experience professional responsibility and develop their writing and presentation skills.Students will receive credit for only one of CPSC 1090 or 1091.Priority registration in this course is offered to students admitted to the Diploma in Applied Science for Engineering and the Certificate in Arts and Science (Engineering).Prerequisite(s): One of the following: a minimum "B" grade in Precalculus 12 (or equivalent), a minimum "C+" grade in Precalculus 12 (or equivalent) and a minimum "C-" grade in Calculus 12, a minimum "C+" grade in MATH 1170, or a minimum 90 on the Mathematics Diagnostic Test; and a minimum "B" grade in Physics 12, or a minimum "B-" grade in PHYS 1118. Prerequisites are valid for only three years.

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PHYS 1125 Physics I with Calculus
4

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 2.0

This is a calculus-based introduction to mechanics. The course examines kinematics (one and two dimensions), dynamics, statics, energy, rotation, waves, oscillations, fluids, gas, heat, thermodynamics in lectures and laboratories. Students planning to go into physical and applied sciences are encouraged to take this course and its second part, PHYS 1225.Students will receive credit for only one of PHYS 1101 or 1125.Prerequisite(s): A minimum "B" grade in Physics 12, a minimum "C" grade in PHYS 1118, or a satisfactory score on the Physics Diagnostic Test; and a minimum "C-" grade in one of the following: MATH 1171, 1173 and 1183, 1175, or 1253 (MATH courses may be taken concurrently).

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One of
CPSC 1150 Program Design
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 2.0

Program design entails building and implementing an algorithm in a programming language (such as Java) using good software development principles. Students develop problem-solving techniques while learning the basics of algorithm development, procedural abstraction, and data representation.Students will receive credit for only one of CPSC 1150 or 1155.Prerequisite(s): One of the following: MDT 85; a minimum "B" grade in Precalculus 12; one of MATH 1171, 1173/1183, or 1174; a minimum "C" grade in one of CPSC 1040 or 1045; or a minimum "B" grade in CPSC 1050.

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CPSC 1155 Program Design for Engineers
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 2.0

This course concentrates on the key elements of good programming and C++ using a multitude of interesting and appropriate engineering and scientific examples. It covers the features of C++ needed for writing engineering programs including procedural abstraction using functions. The course also presents fundamentals of numerical methods that represent commonly used techniques for solving engineering and scientific problems.Students will receive credit for only one of CPSC 1150 or 1155.Prerequisite(s): One of the following: MDT 85; a minimum "B" grade in Precalculus 12; a minimum "C-" grade in MATH 1171, 1173/1183, or 1174; a minimum "C" grade in CPSC 1040 or 1045; or a minimum "B" grade in CPSC 1050. Prerequisites are valid for only three years.

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One of
ENGL 1123 Introduction to Academic Writing
3

Lecture Hours: 3.0 | Seminar: 1.0 | Lab: 0.0

Students read and analyze a variety of texts in order to develop techniques of research, critical thinking, close reading, and clear writing in an academic context. Course readings, which include a selection of scholarly articles, are drawn from at least three academic disciplines. By exploring and responding to a range of topics, students develop a foundation for post-secondary writing.Students will only receive credit for one of ENGL 1123, 1127, or 1128.Prerequisite(s): One of the following: LET 4 (or LET 3 with a strong recommendation of concurrent registration in ENGL 1121); a minimum 70% in English First Peoples 12, English Studies 12, Literary Studies 12, or equivalent; a minimum "C" grade in ENGL 1120; an "S" grade in ENGL 1107, 1108, or 1110; or a minimum "C" grade in three credits of university-transferrable English.

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ENGL 1127 Essay Writing and Short Prose Selections
3

Lecture Hours: 3.0 | Seminar: 1.0 | Lab: 0.0

This course emphasizes the principles of composition through the study and writing of various kinds of essays, including the research essay. As a secondary aim, it encourages an appreciation of modern literature through a study of the short story.Students will receive credit for only one of ENGL 1123, 1126, 1127, or 1128.Prerequisite(s): One of the following: LET 4 (or LET 3 with a strong recommendation of concurrent registration in ENGL 1121); a minimum 70% in English First Peoples 12, English Studies 12, Literary Studies 12, or equivalent; a minimum "C" grade in ENGL 1120; or an "S" grade in ENGL 1107, 1108, or 1110.

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One of
MATH 1171 Calculus I
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 0.0

This course deals primarily with differentiation. The major topics include limits (intuitive approach), development and definition of derivatives, differentiation techniques (algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions), curve sketching, applications of derivatives (optimization, related rates, linear motion, differential approximations), antiderivatives, growth and decay.Students will receive credit for only one of MATH 1153/1253, 1171, 1173, 1174, or 1175.Prerequisite(s): A minimum "A" grade in Precalculus 12; permission of department based on the MDT process (MDT 95); or a minimum "B-" grade in MATH 1170; or a minimum "C+" grade in Precalculus 12 and a minimum "C-" grade in Calculus 12. Prerequisites are valid for only three years.

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MATH 1173 Calculus I with Computer Explorations
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 0.0

This is a course in differential calculus, the study of how quantities change. Topics include limits, the definition and interpretations of the derivative, rules and techniques for computing derivatives, using the derivative to study problems involving rates of change, approximation, graphs, and optimization. Traditional classroom instruction will be augmented with laboratory work in MATH 1183. See the description of MATH 1183 for more detail about these activities.Students will receive credit for only one of MATH 1153/1253, 1171, 1173, 1174, or 1175.Prerequisite(s): A minimum "B" grade in Precalculus 12; permission of the department based on the MDT process (MDT 090); a minimum "C+" grade in MATH 1170; or a minimum "C+" grade in Precalculus 12 and a minimum "C-" grade in Calculus 12. Prerequisites are valid for only three years.Corequisite(s): MATH 1183.

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MATH 1183 Computer Explorations for Calculus I
1

Lecture Hours: 0.0 | Seminar: 0.0 | Lab: 2.0

This is the laboratory component of MATH 1173. These laboratory activities will usually involve the use of a Computer Algebra System, will include instruction about the computers and the software being used, and will involve activities designed to promote better understanding of ideas being studied in MATH 1173.Corequisite(s): MATH 1173.

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20-21 Credits

Term Notes:

Progression into the second term of this limited enrolment program requires satisfactory (minimum "C-" grade) completion of all seven courses indicated in the Term One curriculum, or special approval of the program coordinator. Students may apply for re-admission to the program a second time.

Term Two

Courses Credits
All of
APSC 1100 Introduction to Engineering II
0

Lecture Hours: 0.0 | Seminar: 0.5 | Lab: 0.0

A seminar course for all students in the engineering transfer program.Registration in this course is restricted to students admitted to the engineering transfer program.

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CPSC 1491 Control Systems and Sustainable Engineering Design
3

Lecture Hours: 2.0 | Seminar: 0.0 | Lab: 2.0

Formerly CPSC 1490The design of engineering systems strives to integrate mechanical, electronic, and computer technologies in order to create optimal products. Students expand on their understanding of engineering design and explore the design of systems comprising of electrical, mechanical, and software subsystems. They apply scientific principles and technical knowledge in student-led and student-driven team collaborative projects with specific practical goals. Projects require teams to document and present their project design solutions and to illustrate key aspects of their solution using projected slides, engineering graphics, and live demonstrations. Students also learn the concept of sustainability and its impact on engineering design as well as engineering ethical practices.Students will receive credit for only one of CPSC 1490 or 1491.Priority registration in this course is offered to students admitted to the Diploma in Applied Science for Engineering and Certificate in Arts and Science (Engineering).Prerequisite(s): A minimum "C" grade in CPSC 1150 or 1155. CPSC 1091 is recommended.

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PHYS 1219 Engineering Mechanics
4

Lecture Hours: 4.0 | Seminar: 2.0 | Lab: 0.0

This course is designed for (although not restricted to) students in the university transfer engineering program. Topics include statics of particles, equilibrium of rigid bodies, rigid body statics and internal forces; kinematics: rectilinear motion; dynamics: Newton's 2nd law, friction, impulse, momentum, work, and energy. Emphasis is placed throughout on the analysis of practical mechanics problems using freebody diagram techniques. Students are encouraged to complete MATH 1271 or 1273 before, or concurrently, with PHYS 1219.Prerequisite(s): A minimum "C+" grade in PHYS 1115; a minimum "C" grade in PHYS 1125; and a minimum "C-" grade in one of the following: MATH 1153, 1171, 1173, or 1253. MATH 1153, 1171, or 1253 may be taken concurrently with PHYS 1219.

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PHYS 1225 Physics II with Calculus
4

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 2.0

This is a calculus-based introduction to electricity. The course examines electrostatics, electric field, electric current, circuits, magnetic field, electromagnetic induction, oscillations, alternating current, sound, optics, interference and diffraction, modern physics.Note: Students taking second year physics courses are advised to take MATH 2362, 2371, 2471, and 2475.Prerequisite(s): A minimum "B" grade in PHYS 1101, or a minimum "C" grade in PHYS 1125; and a minimum "C-" grade in one of the following: MATH 1271, 1273 and 1283, or 1275 (MATH courses may be taken concurrently).

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One of
CMNS 2228 Advanced Written Communications 1
3

Lecture Hours: 3.0 | Seminar: 0.0 | Lab: 1.0

Students in CMNS 2228 will learn advanced written communication skills, including both business and technical writing. Students will learn and practice advanced editing skills and writing for the web.Prerequisite(s): A minimum "C-" grade in one of the following: CMNS 1118, ENGL 1123, 1127, or 1140; or permission of the English department.

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ENGL 1129 Modern Novel, Poetry, and Drama
3

Lecture Hours: 3.0 | Seminar: 1.0 | Lab: 0.0

This course introduces students to the modern novel, to a selection of poems, mainly from the twentieth century, and to a sampling of modern drama. Writing assignments are related to the literary works studied.Students will receive credit for only one of ENGL 1129 or 1130.Prerequisite(s): One of the following: LET 4 (or LET 3 with a strong recommendation of concurrent registration in ENGL 1121); a minimum 70% in English First Peoples 12, English Studies 12, Literary Studies 12, or equivalent; a minimum "C" grade in ENGL 1120; an "S" grade in ENGL 1107, 1108, or 1110; or a minimum "C" grade in three credits of university-transferable English.

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any university-transferable ENGL course
3
One of
MATH 1271 Calculus II
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 0.0

This course deals primarily with integration and series. The major topics include the concept of integration, techniques of integration, applications of integration, and infinite series.Students will receive credit for only one of MATH 1271, 1273, 1274, or 1275.Prerequisite(s): A minimum "C" grade in one of the following: MATH 1171, 1173, 1174, 1175, or 1253. Prerequisites are valid for only three years.

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MATH 1273 Calculus II with Computer Explorations
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 0.0

This is a course in integral calculus, the study of how quantities accumulate. Topics include the definition of the definite integral, interpretations and properties of the integral, techniques for computing integrals, techniques for approximating integrals, applications of integrals, and the study of infinite series. Traditional classroom instruction will be augmented with laboratory work in MATH 1283. See the description of MATH 1283 for more detail about these activities.Students will receive credit for only one of MATH 1271, 1273, 1274, or 1275.Prerequisite(s): A minimum "C-" grade in MATH 1171, 1173, or 1253; or permission of the department. Prerequisites are valid for only three years.Corequisite(s): MATH 1283.

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MATH 1283 Computer Explorations for Calculus II
1

Lecture Hours: 0.0 | Seminar: 0.0 | Lab: 2.0

This is the laboratory component of MATH 1273. These laboratory activities will usually involve the use of a Computer Algebra System, will include instruction about the computers and the software being used and will involve activities designed to promote better understanding of the ideas being studied in MATH 1273.Corequisite(s): MATH 1273.

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One of
MATH 1252 Linear Systems with Applications
3

Lecture Hours: 3.0 | Seminar: 0.0 | Lab: 1.0

This introductory course will cover topics in vector algebra and geometry in R2 and R3, systems of linear equations and Gaussian elimination, matrices and determinants, and eigenvalues and eigenvectors. Application will include resistor networks, chemical reactions, random walks, projections and transformation, and some computer graphics. Students will receive credit for only one of MATH 1252 or 2362.Prerequisite(s): A minimum "C+" grade in MATH 1153 and 1253; or a minimum "C" grade in one of the following: MATH 1171, 1173 and 1183, or 1175. Prerequisites are valid for only three years.

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MATH 2362 Linear Algebra
3

Lecture Hours: 4.0 | Seminar: 0.0 | Lab: 0.0

Linear algebra is a source of many important ideas and techniques with broad applications in mathematics, science, and engineering. Students explore some of the main concepts and techniques in linear algebra as they learn about vectors, matrices, linear equations, and their applications. In addition, the course has a theoretical focus and students are expected to complete various types of proofs. The topics include systems of linear equations, Gaussian elimination, operations on matrices, determinants, Euclidean and abstract vector spaces, linear independence of vectors, vector subspaces, the concepts of basis and dimension, linear transformations, change of basis, eigenvalues and eigenvectors, diagonalization, and orthogonal diagonalization.Students will receive credit for only one of MATH 2362 or 1252.Prerequisite(s): A minimum "C-" grade in one of the following: MATH 1271, 1273, 1274, or 1275; or a minimum "A" grade in MATH 1171, 1173, or 1253 and concurrent registration in one of the following: MATH 1271, 1273, 1274, or 1275. Prerequisites are valid for only three years.

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MATH 2382 Linear Algebra Laboratory
1

Lecture Hours: 0.0 | Seminar: 0.0 | Lab: 2.0

Computer lab activities to complement topics from linear algebra studies in MATH 2362. The labs are designed to promote better understanding of the ideas studied in MATH 2362, as well as to study applications of Linear Algebra Theory. Applications include Polynomial Fitting, Cryptography, Computer Graphics, Least Squares Method, Polynomial Approximation.Prerequisite(s): A minimum "C-" grade in MATH 2362 (may be taken concurrently). Prerequisites are valid for only three years.

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20-21 Credits

Term Notes:

Students intending to transfer to another institution are responsible for ensuring that CMNS 2228 is suitable for their purpose. In particular, students should be advised that CMNS 2228 cannot be used to meet UBC’s minimum English Language Admission Standard.