PEN120 Physics with Calculus: Semester Study Guide and Topic Overview

Semester Study Guide: Physics with Calculus (PEN120 OUA3)

Overview

This study guide outlines the weekly structure, main topics, and essential learning activities for a college-level Physics with Calculus course. The schedule is designed to help students systematically cover foundational and advanced topics in physics, integrating lectures, textbook readings, problem sets, tutorials, quizzes, and laboratory work.

Course Structure and Weekly Topics

Week	Main Topic	Subtopics / Focus	Key Activities
1	Introduction & Essential Mathematics	Math review, units, basic problem-solving	Lectures, textbook exercises, QuickSmart exercises
2	Linear Motion & Projectile Motion	1D and 2D kinematics, vectors, projectile motion	Lectures, textbook/QuickSmart exercises, Quiz 1
3	Newton’s Laws of Motion	Forces, dynamics, applications of Newton's laws	Lectures, exercises, Quiz 2, Laboratory 1
4	Energy, Power & Momentum	Work, energy, conservation, momentum, impulse	Lectures, exercises, Quiz 3, Lab 1 Report
5	Circular Motion, Gravity, Satellite Motion	Centripetal force, gravitation, orbital motion	Lectures, exercises, Quiz 4, Laboratory 2, Assignment 1
6	Mechanical Waves and Sound	Wave properties, sound, superposition	Lectures, exercises, Quiz 5, Lab 2 Report
7	Heat Energy Transfer	Thermodynamics, heat transfer mechanisms	Lectures, exercises, Quiz 6
8	Thermal Properties	Thermal expansion, specific heat, phase changes	Lectures, Laboratory 3
9	Electricity	Electric force, field, circuits, potential	Lectures, exercises, Quiz 7, Lab 3 Report
10	Electromagnetism	Magnetic fields, induction, electromagnetic forces	Lectures, exercises, Quiz 8, Laboratory 4, Assignment 2
11	Electromagnetic Waves and Light	EM waves, optics, wave-particle duality	Lectures, exercises, Quiz 9, Laboratory 5, Lab 4 Report
12	Revision	All course content	Review, Quiz 10, Lab 5 Report
13	Study Week	Revision	Self-study
14	Final Exam	All topics	Exam

Topic Summaries

Introduction & Essential Mathematics

This module reviews the mathematical tools necessary for success in physics, including algebra, trigonometry, and introductory calculus. Students will also become familiar with SI units and dimensional analysis.

• Key Concepts: Algebraic manipulation, unit conversions, significant figures, basic differentiation and integration.

• Example: Converting between units (e.g., meters to kilometers), using dimensional analysis to check equations.

Linear Motion & Projectile Motion

Students learn to describe and analyze motion in one and two dimensions, including the use of vectors and the equations of kinematics.

• Key Equations:

• Displacement: $s = ut + \frac{1}{2}at^2$

• Velocity: $v = u + at$

• Projectile motion (horizontal range): $R = \frac{v_0^2 \sin 2\theta}{g}$

• Example: Calculating the time of flight and range of a projectile launched at an angle.

Newton’s Laws of Motion

This module covers the fundamental laws governing forces and motion, including applications to various physical systems.

• Newton's First Law: An object remains at rest or in uniform motion unless acted upon by a net force.

• Newton's Second Law: $F = ma$

• Newton's Third Law: For every action, there is an equal and opposite reaction.

• Example: Analyzing forces on an inclined plane or in a two-body system.

Energy, Power & Momentum

Students explore the concepts of work, kinetic and potential energy, conservation of energy, momentum, and impulse.

• Work: $W = Fd \cos \theta$

• Kinetic Energy: $KE = \frac{1}{2}mv^2$

• Potential Energy: $PE = mgh$

• Conservation of Momentum: $m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'$

• Example: Calculating the final velocities after a collision.

Circular Motion, Gravity, and Satellite Motion

This module introduces uniform circular motion, centripetal force, Newton's law of gravitation, and satellite orbits.

• Centripetal Force: $F_c = \frac{mv^2}{r}$

• Gravitational Force: $F_g = G\frac{m_1m_2}{r^2}$

• Orbital Velocity: $v = \sqrt{\frac{GM}{r}}$

• Example: Determining the speed of a satellite in low Earth orbit.

Mechanical Waves and Sound

This topic covers the properties of waves, sound propagation, and the principles of superposition and resonance.

• Wave Speed: $v = f\lambda$

• Sound Intensity: $I = \frac{P}{A}$

• Example: Calculating the frequency of a standing wave on a string.

Heat Energy Transfer & Thermal Properties

Students learn about heat, temperature, methods of heat transfer (conduction, convection, radiation), and thermal properties of matter.

• Heat Transfer (Conduction): $Q = \frac{kA(T_2 - T_1)t}{d}$

• Specific Heat: $Q = mc\Delta T$

• Example: Calculating the energy required to heat a substance.

Electricity

This module introduces electric forces, fields, potential, and basic DC circuits.

• Coulomb's Law: $F = k_e \frac{|q_1q_2|}{r^2}$

• Ohm's Law: $V = IR$

• Electric Field: $E = \frac{F}{q}$

• Example: Calculating the current in a simple circuit.

Electromagnetism

Students study magnetic fields, electromagnetic induction, and the relationship between electricity and magnetism.

• Magnetic Force: $F = qvB \sin \theta$

• Faraday's Law: $\mathcal{E} = -\frac{d\Phi_B}{dt}$

• Example: Determining the induced emf in a moving conductor.

Electromagnetic Waves and Light

This module covers the nature of electromagnetic waves, the electromagnetic spectrum, and basic principles of geometric and wave optics.

• Wave Equation: $c = f\lambda$

• Snell's Law: $n_1 \sin \theta_1 = n_2 \sin \theta_2$

• Example: Calculating the angle of refraction as light passes between media.

Revision and Exam Preparation

The final weeks are dedicated to comprehensive review, practice quizzes, laboratory report submissions, and final exam preparation. Students are encouraged to revisit all major topics, complete outstanding assignments, and clarify any remaining questions during tutorials or Q&A sessions.

Assessment Overview

• Quizzes: Weekly, covering current and previous topics.

• Laboratory Reports: Five labs, each with a report due after completion.

• Assignments: Two major assignments, due mid-semester and near the end.

• Final Exam: Comprehensive, covering all course content.

Study Tips

• Allocate 10-12 hours per week for lectures, readings, problem-solving, and labs.

• Keep a personal copy of the study schedule and mark completed activities.

• Engage actively in tutorials and Q&A sessions for clarification and deeper understanding.

• Practice with textbook and QuickSmart exercises to reinforce concepts.

Additional info: The above guide is based on a detailed semester schedule and is intended to provide a structured overview for exam preparation and ongoing study in a calculus-based physics course.