Math Review Note-Taking Guide
KNS 422, Spring 2023
2.1 – Basic Units of Measure in Biomechanics
Mechanics > Rigid Body Mechanics
•
Define kinematics. Provide some examples of kinematic measures.
•
Define kinetics. Provide the primary formula and some examples.
Basic Measurements in Biomechanics
•
Define space (Length). Provide some examples of spatial measures.
o What is the basic unit of measure for space?
•
Define time. Provide some examples of temporal measures.
o What is the basic unit of measure for time?
•
What happens when we combine time & space?
o Define speed. Provide its formula.
o Define velocity. Provide its formula.
•
Define mass.
o What is the basic unit of measure for mass?
© Rachel Tatarski, Ph.D. 2023
1
Math Review Note-Taking Guide
•
KNS 422, Spring 2023
Define inertia.
o Describe the relationship between mass and inertia.
o What are some examples of when you have experienced inertia? What did that feel like?
•
Define and describe acceleration. Provide its formula.
2.2 – Math Review – Part 1
Math Problem-Solving Strategy
•
G
•
U
•
E
•
S
•
S
© Rachel Tatarski, Ph.D. 2023
2
Math Review Note-Taking Guide
KNS 422, Spring 2023
Order of Operations
•
P
•
E
•
M
o Explicit vs. implicit multiplication
•
D
•
A
•
S
Angles in Biomechanics
•
Describe some common angle measurements in biomechanics.
Position
•
Describe position.
© Rachel Tatarski, Ph.D. 2023
3
Math Review Note-Taking Guide
•
KNS 422, Spring 2023
Draw the 2 primary coordinate systems we will use in this class
o Quadrants
o Cartesian Coordinate System
•
What differentiates a scalar vs. a vector quantity?
•
Define distance traveled.
•
Define displacement.
•
What differentiates distance traveled and displacement?
© Rachel Tatarski, Ph.D. 2023
4
Math Review Note-Taking Guide
KNS 422, Spring 2023
o Can these values ever be equal? Provide an example.
o When are they different? Provide an example.
•
Compare and contrast speed and velocity.
2.3 – Math Review – Part 2
Right Triangle Anatomy
•
Identify the hypotenuse and right angle on each triangle.
© Rachel Tatarski, Ph.D. 2023
5
Math Review Note-Taking Guide
KNS 422, Spring 2023
Pythagorean Theorem
SOH CAH TOA
© Rachel Tatarski, Ph.D. 2023
6
Math Review Note-Taking Guide
KNS 422, Spring 2023
Vector Addition
•
Head-to-tail method
Calculus in Biomechanics
•
Define derivative. Label an example on the graph.
•
Define integral. Label an example on the graph.
© Rachel Tatarski, Ph.D. 2023
7