Topics:
- defining vectors and scalars
- examples of each
- displacement vs. distance
- velocity vs. speed
- visual representation of vectors
- addition and subtraction of vectors visually (tail-to-tip)
- vector decomposition
- adding (or subtracting) vectors analytically
- vector multiplication: scalar multiplication, dot product, and cross product

Reading:
Chapter 3 sections: 3.2, 3.3

Videos & Resources:
-vectors overview (videos 1-7 from the playlist)
-vector addition simulation

Practice:
-vector addition in 2D (exercise 2 only)
-vector decomposition
-vector addition with scalar multiplication, displacement
-math essentials for physics

Topics:
- average velocity and average speed
- weighted averages and why you can't calculate an average velocity (or speed) by simply averaging the velocities (or speeds)
- average velocity on a position vs. time graph and the significance of slope on such graphs
- average velocity vs. instantaneous velocity
- the concept of acceleration and the three possible effects that acceleration can have on an object
- average acceleration
- constant acceleration
- the graph of velocity vs. time and the significance of slope and area on such graphs
- the equations of kinematics for constant acceleration and their derivation
- kinematics applied to horizontal movement
- horizontal scenario with multiple constant accelerations
- kinematics applied to vertical movement (free fall)
- vertical scenario with multiple constant accelerations

Reading:
Chapter 2 sections: 2.1-2.8

Videos & Resources:
-kinematics overview (we will discuss center of mass later)
-moving man simulation (instructions and exercises included)
-worked examples (see multiple example videos in this playlist; ignore the calculus-based examples)

Practice:
Chapter 2:
-conceptual questions: all
-problems & exercises: 1-7, 11, 13, 14, 16, 18, 20-25, 27- 54, 55*, 57-62, 64, 65

Topics:
- using vector decomposition to separate the horizontal and vertical motion of a projectile
- calculating maximum height
- calculating horizontal range
- velocity at the apex of a projectile's trajectory
- horizontally restricted vs. vertically restricted projectiles
- calculating the angle of projection of a projectile
- calculating the initial speed of a projectile

Reading:
Chapter 3 sections: 3.1, 3.4

Videos & Resources:
-projectile overview
-illustrating components in projectile motion
-[simulation] make observations about projectile motion
-worked examples

Practice:
Chapter 3:
-conceptual questions: 1-16
-problems & exercises: 1, 2, 5, 11, 13, 15, 16, 22-30, 34, 36*, 37-47, 48*, 49*

Topics:
- defining force
- the effect of net force on an object's motion (Newton's 1st Law)
- net force and the acceleration produced by it (Newton's 2nd Law)
- g forces and why they're not forces
- some commonly encountered forces and how they work: normal force, applied force, tension force, static/kinetic friction forces, spring force, and gravitational force
- free body diagrams
- forces on multiple interacting objects (Newton's 3rd Law)
- one-dimensional force problems (elevators)
- two-dimensional force problems on level ground
- two-dimensional force problems involving pulleys
- two-dimensional force problems on inclined planes
- static equilibrium
- force problems involving action and reaction

Reading:
Chapter 4 sections: 4.1-4.7
Chapter 5 sections: 5.1, 5.3 (first few paragraphs on Hooke’s Law only; ignore elastic modulus and onward)

Videos & Resources:
-force introduction
-g forces
-normal and tension force (main ideas)
-force-body diagrams and normal force revisited
-tension revisited
-friction
-inclined planes
-addressing misconceptions: 1, 2, 3, 4, 5, 6
-worked examples

Practice:
-basic vector addition of forces
-free body diagrams
-1D force problems (solutions)
-more vertical force problems and intro 2D problem (solutions)
-2D force problems (solutions)
-forces on systems of objects (solutions)
-friction (solutions)
-inclined planes (solutions)
-inclined planes with friction (solutions)
-pulleys (solutions)
-pulleys with inclined planes and friction (solutions)

Chapter 4:
-conceptual questions: 2-20, 22-24
-problems & exercises: 1-35, 38-51

Chapter 5:
-conceptual questions: 1-3
-problems & exercises: 1, 2, 4, 6-13, 17-19

Topics:
- defining work and energy
- calculating work as a dot product
- kinetic energy
- the work-energy theorem
- gravitational potential energy
- elastic (spring) potential energy
- mechanical energy
- conservative forces and the conservation of mechanical energy
- conservation of energy within a system vs. an individual object
- power and how to calculate it

Reading:
Chapter 7 sections: 7.1-7.7
Chapter 16 sections: 16.1

Videos & Resources:
-energy playlist (see the “Introduction to…” videos)
-conservation of energy demo
-worked examples

Practice:
-work basics (solutions)
-kinetic energy and the work-energy theorem (solutions)
-[video] potential energy and mechanical energy concepts (note that although the first ~7 minutes of the video were rendered poorly for some reason, the rest of the video seems to have come out fine)

Chapter 7:
-conceptual questions: 1-20
-problems & exercises: 1-10, 12-18, 20-25, 27, 32-40

Topics:
- defining momentum
- defining impulse
- the impulse-momentum theorem
- conservation of momentum and its conditions
- momentum and energy conservation are independent of each other
- elastic collisions
- inelastic collisions
- the ballistic pendulum
- collisions involving more than two objects
- two-dimensional collisions

Reading:
Chapter 8 sections: 8.1-8.6

Videos & Resources:
-momentum overview
-worked examples

Practice:
Chapter 8:
-conceptual questions: 1-18
-problems & exercises: 1-16, 17*, 18, 19*, 20-32, 34-44

Topics:
- defining uniform circular motion
- defining tangential velocity
- defining centripetal acceleration
- centripetal force and why it's not a force to be shown on a free body diagram
- banked curves
- Newton's Law of Universal Gravitation
- gravitational potential energy and conservation of energy revisited
- escape velocity
- how a "freely falling" object can engage in uniform circular motion
- Kepler's Laws
- deriving and applying Kepler's 3rd Law

Reading:
Chapter 6 sections: 6.1-6.3, 6.5, 6.6

Videos & Resources:
-addressing misconceptions: 1 (from beginning up to 7:38 in the video), 2, 3
-centripetal force supplied by Earth’s gravity (understand the part starting at the 4:04 mark)
-worked examples (circular motion)
-worked examples (gravitation)

Practice:
Chapter 6:
-conceptual questions: 1-6, 9-12, 19-21
-problems & exercises: 1-8, 10-16, 17*, 19-24, 29*, 31, 35, 36, 39-41, 43, 45

Topics:
- angular displacement, velocity, and acceleration
- the equations of rotational kinematics
- tangential and angular motion variables and how they are related
- circular motion revisited: another formula for centripetal acceleration and tangential vs. centripetal acceleration
- moment of inertia as a concept
- moment of inertia for point masses vs. rigid bodies
- torque as a cross product
- net torque and static equilibrium revisited
- net torque on rotationally accelerating objects
- rotational kinetic energy
- angular momentum and its conservation

Reading:
Chapter 9 sections: 9.1, 9.2, 9.4
Chapter 10 sections: 10.1-10.6

Videos & Resources:
-rotational kinematics (see videos 1-13 in this list; you can ignore the parts about polar coordinates and the right-hand rule, which are not on the exam)
-torque introduction and examples
-worked examples (torque basics)
-moment of inertia: basics, intuition
-moment of inertia for various objects
-center of mass intuition (no need to calculate it for the exam)
-demonstration involving rotational kinetic energy
-summary
-worked examples (this is a long playlist, so I recommend picking a few examples for angular momentum, a few for rotational kinetic energy, etc.; you can skip the parallel axis theorem unless you’re interested)

Practice:
Chapter 9:
-conceptual questions: 1-5
-problems & exercises: 1-7, 10, 12, 13, 17, 18

Chapter 10:
-conceptual questions: 2, 4-11, 14-19, 26, 27
-problems & exercises: 1-9, 11-14, 16, 18, 21- 23, 25, 26, 28, 31, 32, 36-41, 43-47

Topics:
- the equilibrium position of an object in simple harmonic motion
- the conditions for simple harmonic motion
- amplitude, period, and frequency
- the mass-spring system
- horizontal vs. vertical springs
- simple harmonic motion compared to uniform circular motion
- the simple pendulum
- period and frequency of harmonic oscillators (mass-spring system and simple pendulum)
- angular frequency and time functions associated with simple harmonic motion: position, velocity, acceleration, and force
- systems of springs in series vs. springs in parallel
- the physical pendulum
- concept: the planetary pendulum
- concept: effective gravitational acceleration on a pendulum in an elevator

Reading:
Chapter 16 sections: 16.1-16.6

Videos & Resources:
-summary
-pendulum simulation
-spring simulation (some helpful instructions to get you started: attach a mass to a spring, turn damping up to bring the system to a stop, set up the options you want, turn damping off, push or pull the mass, and let go)
-worked examples

Practice:
-SHM worksheet
-spring problems
-pendulum problems

C16:
-conceptual questions: 2-9
-problems & exercises: 1-11, 13-15, 18-31, 35, 36

Topics:
- defining fluids and understanding states of matter on a molecular level
- density of uniform and non-uniform objects
- pressure, its measurement, and its various units
- finding the force exerted on a surface based on pressure
- atmospheric pressure and gauge pressure
- pressure created by a column of fluid
- Pascal's principle
- Archimedes' principle and the buoyant force
- flow rate of a fluid and the continuity equation
- Bernoulli's principle and Bernoulli's equation
- lift force and down force
- Torricelli's theorem

Reading:
Chapter 11 sections: 11.1-11.7
Chapter 12 sections: 12.1-12.3

Videos & Resources:
-fluids playlist (see all videos)
-Pascal's principle and water towers
-density and buoyancy simulation
-Bernoulli's principle and sailboats
-fluid flow simulation
-the Venturi effect in gas pumps
-worked examples for fluid statics (first 11 videos only)
-worked examples for fluid dynamics (first 12 videos only)

Practice:
Chapter 11:
-conceptual questions: 1-14, 17-31
-problems & exercises: 1-53

Chapter 12:
-conceptual questions: 1-4, 6-20
-problems & exercises: 1-28 (18 has a typo: see Figure 12.7b, NOT Example 12.2)

- best-fit line problems
- making use of slopes and areas on a graph
- experimental design and error analysis problems
- deriving units for physical constants and other quantities
- how to justify an answer (either with math or with an argument)
- getting the most out of your calculator
- multiple choice problems from past exams
- free response questions from past exams and the breakdown of how they were scored
- statistics and score distributions for past exams