## Academics

# 200.B0 Pure and Applied Science Profile

#### PREREQUISITES

Chemistry 534 or 551504

Mathematics 536 or 564506 or 565506 (TS or SN Level 5)

Physics 534 or 553504

Students who obtained a low final grade in Mathematics, Physics and Chemistry in high school level V will be provided additional support in the form of a mandatory 1 hour per week additional hour for the NYA courses to help them successfully complete these courses and have better foundations for the balance of the science program.

#### THE PROGRAM

The Science Program prepares students for university studies in pure, applied and health sciences, so that they may pursue a career in areas such as science, engineering or medicine. The Program is unique in that students can choose from a list of science option courses, designed to meet a variety of individual interests and university requirements. Integrative projects aim to encourage creativity and an interest in learning along with good research methods. Science workshops, based on the principle of peer tutoring, are an important part of student learning. Members of the teaching staff help students achieve their goals through the Program activities and through their availability for help outside the classroom.

#### OBJECTIVES

At the end of the program in science the student will be able to do the following:

- apply the experimental method;
- take a systematic approach to problem-solving;
- use appropriate data-processing technology;
- reason in a rigorous and logical manner;
- communicate effectively;
- learn in an autonomous manner;
- work as a member of a team;
- recognize the links between science, technology and the evolution of society;
- construct a personal system of values;
- identify the context in which scientific ideas originated and evolved;
- display attitudes and behaviour compatible with the scientific spirit and method;
- apply acquired knowledge and skills to new situations.

#### SCIENCE COURSES

Both profiles require twelve science courses chosen from the following:

**COMPULSORY SCIENCE COURSES**

Biology: | General Biology I | 101-NYA-05 |

Chemistry: | General Chemistry | 202-NYA-05 |

Solutions | 202-NYB-05 | |

Mathematics: | Calculus I | 201-NYA-05 |

Calculus II | 201-NYB-05 | |

Linear Algebra | 201-NYC-05 | |

Physics: | Mechanics | 203-NYA-05 |

Electricity and Magnetism | 203-NYB-05 | |

Wave Motion and Modern Physics | 203-NYC-05 |

**SCIENCE OPTION COURSES** currently available

(F = Fall semester only, W = Winter semester only)

Human Biology I | (F) | 101-BFA-05 |

General Biology II | (W) | 101-BFC-05 |

Organic Chemistry I | (F) | 202-BFA-05 |

Organic Chemistry II | (W) | 202-BFB-05 |

Calculus III | (W) | 201-BFB-05 |

Mathematical Statistics | (W) | 201-BFC-05 |

Experimental Physics | (W) | 203-BFD-05 |

Astrophysics | (F) | 203-BFE-05 |

**MAKE-UP COURSE
**Secondary V Mathematics: Technical and Scientific Option, number 201-015-50 is non-program credit course.

**THE COMPREHENSIVE ASSESSMENT**

All students must complete three 10 hour modules of integrative activities. All science options, as well as the Humanities for Science courses, contain such modules. A 1000 word essay completes the requirement for the Comprehensive Assessment. This essay, which is done under the supervision of a science teacher, is designed to assess the ability of a student to use his/her acquired knowledge and abilities to reflect on a scientific topic.

Total courses : **26**

Total credits : **58 2/3**

#### Semester 1

Physical Education 101 or 102 | 109-10?-MQ |

Humanities – Knowledge | 345-101-MQ |

College English | 603-101-MQ |

French – General | 602-10?-MQ |

Calculus l | 201-NYA-05 |

General Chemistry | 202-NYA-05 |

Mechanics | 203-NYA-05 |

#### Semester 2

Physical Education 101 or 102 | 109-10?-MQ |

Humanities - World Views | 345-102-MQ |

English for Science | 603-BES-LE |

French – Specific | 602-BE?-LE |

Calculus II | 201-NYB-05 |

Chemistry of Solutions | 202-NYB-05 |

Wave Motion and Modern Physics | 203-NYC-05 |

#### Semester 3

Humanities - Ethics | 345-BES-LE |

English 102 or 103 | 603-102-MQ |

Complementary course | |

General Biology l | 101-NYA-05 |

* | ???-???-05 |

* | ???-???-05 |

#### Semester 4

Physical Education | 109-103-MQ |

English 102 or 103 | 603-10?-MQ |

Complementary course | |

* | ???-???-05 |

* | ???-???-05 |

* | ???-???-05 |

*2 additional compulsory courses, Linear Algebra 201-NYC-05 and Electricity and Magnetism 203-NYB-05 must also be taken. Students also select 3 option science courses with physics and mathematics recommended.

##### Biology

101-NYA-05: | GENERAL BIOLOGY I | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course is designed to allow students to come to a good understanding of the origin of the biodiversity we see on Earth today. Using evolution as the umbrella concept, the course will examine mechanisms that are responsible for both the diversity and the unity of all living organisms. Looking at these mechanisms will involve examination of cells, cell division, DNA, genetics and patterns of inheritance as well as agents of evolution such as mutation and natural selection. Labs have been designed so that students can have a "hands-on" approach to concepts discussed in class. By the end of the course the student should have a deep appreciation of life on Earth and the processes that are at work in the natural world.

101-BFC-05: | GENERAL BIOLOGY II | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Evolution continues to be the unifying theme in this course (as it is in 101-NYA-05) while the underlying principle of the unity of life is explored. This unity can be seen in the metabolic processes carried out in cells as well as in adaptations made by organisms (both plants and animals) in order to maintain their integrity and homeostasis. Classes and labs have been designed to allow students to come to an understanding and appreciation of the similarities that exist in all forms of life. Relevancy and solving real life problems will be stressed as students discover more about the dynamic world they share with all living organisms.

(Prerequisite: 101-NYA-05)
NOTE: Offered in winter semester only.

101-BFA-05: | HUMAN BIOLOGY I | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course looks at the human body from the cellular level to the organ system level of organization. Study of cell structure, metabolism, and the characteristics of various human tissues is followed by exploration of the digestive, cardiovascular, and respiratory systems. Dissection and experimentation in the laboratory give the student concrete experience that clarifies the theoretical material presented in lectures.

(Corequisite: 101-NYA-05)
NOTE: Offered in fall semester only.

##### Chemistry

202-NYA-05: | GENERAL CHEMISTRY | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course establishes the link between the structure of atoms and molecules and the properties of matter. Laboratory work helps develop the scientific method and provides an experimental foundation for class topics, including: Chemical calculations and nomenclature; Probability distribution of the electron and atomic orbitals; Electron configurations, the periodic table and periodic properties; Energy changes in the formation of chemical bonds; The structure, shape and polarity of molecules (Lewis structure, VESPR theory and hybrid orbitals); Intermolecular forces and their relationship to physical properties.

(Prerequisite: Chemistry 534 or 551504 or 202-BFX-05)

202-NYB-05: | CHEMISTRY OF SOLUTIONS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course, with General Chemistry, completes college level chemistry. It is focused on analysis of properties of solutions and reactions that occur in solutions. Laboratory work provides an experimental foundation for class topics, which include: Gaseous, solution and precipitation equilibria and Le Chatelier’s Principle; acid-base reactions, pH and buffer solutions; electrochemistry, oxidation- reduction, electrolysis and the Second Law of Thermodynamics; reaction kinetics, reaction rate equation and integral reaction rate equation, determination of half-life and reaction mechanisms; colligative properties: boiling and freezing point determination of solutions and osmotic pressure.

(Prerequisite: 202-NYA-05)

202-BFA-05: | ORGANIC CHEMISTRY I | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course provides an overview of organic chemistry. Laboratory work emphasizes the identification, purification and synthesis of organic molecules. Topics include: Systematic nomenclature of organic compounds; the three dimensional structure of organic molecules - structural isomers and stereoisomers (geometric and enantiomers, configuration); structure and reactivity of alkanes, alkenes, alkynes, dienes, aromatic hydrocarbons, carbonyl compounds, carboxylic acids and derivatives; reaction mechanisms: addition, elimination and substitution (SN1 and SN2); structure determination through chemical and physical (IR and NMR spectroscopy) methods; carbohydrates, lipids, amino acids, proteins.

(Prerequisite: 202-NYA-05)
NOTE: Offered in fall semester only.

202-BFB-05: | ORGANIC CHEMISTRY II | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course provides a more complete coverage of the discipline through the reaction mechanism approach. Topics include: Stereoisomers, especially enantiomers, diastereomers and configuration (R/S); experimental and structural basis for reaction mechanisms - inductive, resonance and steric effects; addition, nucleophilic substitution and elimination (SN1, SN2, E1 and E2); electrophilic aromatic substitution; free radical reactions; the chemistry of biologically important molecules; organic synthesis; spectroscopic methods in organic chemistry - NMR, IR and mass spectrometry.

(Prerequisite: 202-BFA-05)
NOTE: Offered in winter semester only.

##### Mathematics

201-015-50 | SECONDARY V MATHEMATICS: TECHNICAL AND SCIENTIFIC OPTION | (4-2-4) 90 HRS / 3 1/3 CR* |

Course content parallels that of secondary Math 564506 and 565506. Students will learn to analyze and to solve problems using concepts in algebra and geometry. Topics include algebraic operations in conformity with rules, properties of functions and their graphs, equations and inequalities in one or two variables, exponential and logarithmic functions, geometric vectors, and trigonometric functions.

(Prerequisite: secondary Math 436 or 564406 or 565406, TS or SN Level 4)
*Non-program credits

201-NYA-05: | CALCULUS I | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Course topics include the following: Functions - algebraic, exponential, logarithmic, trigonometric and inverse trigonometric; limits - intuitive approach, definition, properties, calculation of limits; derivative - geometric interpretation, definition, standard rules and techniques of differentiation; applications - study of curves, optimization problems, related rates.

(Prerequisite: Math 536 or 564506 or 565506, TS or SN Level 5 or 201-BFX-05)

201-NYB-05: | CALCULUS II | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Course work includes the following topics: Limits - indeterminate forms, L’Hopital’s rule; standard rules and techniques of integration; the Fundamental Theorem of Calculus; calculation of lengths, areas and volumes; separable differential equations; Taylor and Maclaurin series.

(Prerequisite: 201-NYA-05)

201-NYC-05: | LINEAR ALGEBRA | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Course material includes: Matrices and determinants - definitions, properties, operations, applications; the Gauss- Jordan and inverse matrix methods of solving systems of linear equations; geometric and algebraic vectors - definition, representation, properties, operations, applications; dot product, cross product and triple scalar product; vector spaces - basis, dimension, linear combination, linear independence; geometric applications: lines and planes, intersections of loci, calculation of angles and distances.

(Prerequisite: 201-NYB-05)

201-BFB-05: | CALCULUS I I I | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course includes the following topics: Curves in the plane and in space; polar equations and graphs; functions of several variables, partial derivatives, maxima and minima, Lagrange’s method; multiple integrals with applications; vector calculus with applications; differential equations.

(Prerequisites: 201-NYB-05 and 201-NYC-05)
NOTE: Recommended for science or engineering at university. Offered in winter semester only.

201-BFC-05: | MATHEMATICAL STATISTICS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Counting methods, probability. Discrete and continuous random variables. Mathematical expectation. Functions of random variables. Central Limit Theorem. Point and interval estimation, hypothesis testing. Regression and correlation.

(Prerequisite: 201-NYB-05)
NOTE: Offered in winter semester only

##### Physics

203-NYA-05: | MECHANICS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course includes: Scalar and vector quantities - units and dimensions; kinematics of the various aspects of rotation and translation - position, displacement, linear and angular velocity, acceleration; force - dynamics of translation and rotation; energy and mechanical work; principles of conservation of energy and of quantity of motion.

(Prerequisite: Physics 534 or 553504 or 203-BFX-05; corequisite: 201-NYA-05)

203-NYB-05: | ELECTRICITY AND MAGNETISM | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course includes the following topics: Electrostatics - charge, field, potential, energy; electro-kinematics - current, circuit, energy, power; magnetism - magnet, force, magnetic field; electromagnetic induction: induced current, alternating current.

(Prerequisites: 203-NYC-05 and 201-NYB-05. This course may, with departmental consent, be taken concurrently with 203-NYC-05.)

203-NYC-05: | WAVE MOTION AND MODERN PHYSICS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Coursework includes the following: Kinematics and dynamics of vibrations; longitudinal and transverse waves; progressive and stationary waves; resonance; sound waves; elements of modern physics; optics - geometric and physical.

(Prerequisites: 203-NYA-05 and 201-NYA-05; corequisite: 201-NYB-05)

203-BFD-05: | EXPERIMENTAL PHYSICS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

Designed for students preparing for a scientific career. This course emphasizes the scientific method while encouraging original thinking on the part of the student. The subject matter includes primarily topics not normally covered in the regular physics program. The students are expected to undertake a project involving the design of an experiment and the successful completion of the experiment followed by a written report.

(Prerequisites: 201-NYB-05 and 203-NYC-05 or permission of instructor; corequisite: 203-NYB-05)
NOTE: Offered in winter semester only.

203-BFE-05: | ASTROPHYSICS | (3-2-3) 75 HRS / 2 2⁄3 CR. |

This course enables the student to become familiar with modern astronomical research techniques and with some of the solved and unsolved problems of physical phenomena in the cosmos. Topics include: stellar structure and evolution, including pulsars and black holes; galactic structure and evolution, including quasars and radio galaxies; and cosmology and cosmogony, including the “big bang” and the ultimate fate of the universe.

(Corequisites: 201-NYB-05 and 203-NYC-05, or permission of instructor)
NOTE: Offered in fall semester only.

NOTE: SOME COURSE TITLES MAY DIFFER SLIGHTLY ON STUDENTS' TRANSCRIPTS; PLEASE REFER TO COURSE NUMBERS.

Apply here