For students requiring the equivalent of a full course in calculus at a less rigorous level than Calculus 1501A/B.  Integration by parts, partial fractions, integral tables, geometric series, harmonic series, Taylor series with applications, arc length of parametric and polar curves, first order linear and separable differential equations with applications.

Students who intend to pursue a degree in Actuarial Science, Applied Mathematics, Astronomy, Mathematics, Physics, or Statistics should take this course. Techniques of integration; The Mean Value Theorem and its consequences; series, Taylor series with applications; parametric and polar curves with applications; first order linear and separable differential equations with applications.

the former Applied Mathematics 1413, the former Applied Mathematics 1414A/B.

Techniques of integration, areas and volumes, arclength and surfaces of revolution, applications to physics and engineering, first order differential equations, parametric curves, polar coordinates, sequences and series, vectors and geometry, vector functions, partial differentiation with applications.

or Calculus1500A/B, or the former Applied Mathematics 1412A/B.

the former Physics 1029A/B, the former Physics 1302A/B.

the former Physics 1028A/B, the former Physics 1029A/B, the former Physics 1301A/B, the former Physics 1302A/B, Grade 12U Physics (SPH4U) if taken within the three years prior to the start of this course.

The concepts of physics are presented without mathematics. The topics include motion, force, mass, energy, momentum, rotational motion, heat, sound, electricity, magnetism, optics, lasers, and relativity. Demonstrations are an important component. This non-laboratory course is particularly suitable for Arts and Humanities and Social Science students.

An introductory algebra-based course in physics covering the foundation principles of oscillations and waves, fluids, electricity, and magnetism. Fundamental physics concepts are introduced with examples from biological applications.

the former Physics 1028A/B, or Physics 1301A/B.

An introductory laboratory-based course in physics covering the foundational principles of oscillations, waves, fluids, electric fields and potential, DC circuits, magnetic fields, and magnetic induction. Fundamental physics concepts are introduced with examples in physical, biological, and medical processes to develop students’ problem-solving skills.

or the former Physics 1028A/B or Physics 1301A/B.

An introductory calculus-based laboratory course in physics covering the foundational principles of oscillations, waves, electric fields and potential, DC circuits, magnetic fields, magnetic induction.

.  The former Applied Mathematics 1414A/B or the former Applied Mathematics 1413 can be used in place of

A calculus-based laboratory course for students intending to pursue further studies in science, particularly the physical sciences. Relativity, the electromagnetic interaction, the strong and weak interactions, oscillations and waves.

the former Applied Mathematics 1412A/B, the former Applied Mathematics 1413.

Review of limits and derivatives of exponential, logarithmic and rational functions. Trigonometric functions and their inverses. The derivatives of the trig functions and their inverses. L'Hospital's rules. The definite integral. Fundamental theorem of Calculus. Simple substitution. Applications including areas of regions and volumes of solids of revolution.

An enriched version of Calculus 1000A/B. Basic set theory and an introduction to mathematical rigour. The precise definition of limit. Derivatives of exponential, logarithmic, rational trigonometric functions. L'Hospital's rule. The definite integral. Fundamental theorem of Calculus. Integration by substitution. Applications.

the former Physics 1028A/B, the former Physics 1301A/B.

An introductory laboratory-based course in physics covering the foundational principles of kinematics, force and motion, energy, linear momentum, rotational motion, torque, equilibrium, angular momentum, geometric optics and optical instruments. Fundamental physics concepts are introduced with examples in physical, biological, and medical processes to develop students’ problem-solving skills.

Grade 12U Calculus and Vectors (MCV4U) or

An introductory calculus-based laboratory course in physics covering the foundational principles of kinematics, force and motion, energy, linear momentum, rotation, torque and angular momentum, gravitation, fluids.

. The former Applied Mathematics 1412A/B or the former Applied Mathematics 1413 can be used in place of

A calculus-based laboratory course for students intending to pursue further studies in science, particularly the physical sciences. Newton's laws, energy, linear momentum, rotations and angular momentum, gravitation and planetary motion.

Grade 12U Physics (SPH4U); Grade 12U Calculus and Vectors (MCV4U) or

or the former Physics 1301A/B, or a minimum mark of 80% in the former Physics 1028A/B;

PHYSICS 1502A/B

ENRICHED INTRODUCTORY PHYSICS II

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