Contributions
Using math in physics - Anchor equations
Instructor supplement, Restricted access, Student reading, Homework, In-class activityA few fundamental equations can help organize large blocks of conceptual knowledge and serve as starting points for problem solving
Medical Applications, Human and Animal Physiology, Biomechanics
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Anchor equations - introduction and overview
Instructor supplement, Restricted accessAn overview of what's in this unit on organizing around basic equations and a short paper for instructors discussing anchor equations.
Medical Applications, Human and Animal Physiology, Biomechanics
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Anchor equations - student readings
Student readingAnchor equations - problems
Homework, Instructor supplement, Restricted access, In-class activityA collection of 87 problems throughout the class that are best done by beginning with fundamental ("anchor") equations or principles.
Medical Applications, Human and Animal Physiology, Biomechanics
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Anchor equations problems - General
Homework, Instructor supplement, Restricted accessAnchor equations problems - Kinematics
Homework, Restricted access, Instructor supplement, In-class activityAnchor equations problems - Newton's laws
Homework, Instructor supplement, Restricted accessAnchor equations problems - Models of force
Homework, Instructor supplement, Restricted accessAnchor equations problems - Coherent vs random motion
Homework, Instructor supplement, Restricted accessAnchor equations problems - Solids
Homework, Instructor supplement, Restricted accessAnchor equations problems - Fluids
Homework, Restricted access, Instructor supplementAnchor equations problems - Mechanical energy
Homework, Instructor supplement, Restricted accessAnchor equations problems - Chemical energy
Homework, Instructor supplement, Restricted accessAnchor equations problems - Thermodynamics and statistical physics
Homework, Instructor supplement, Restricted access, In-class activityAnchor equations problems - Electricity
Homework, Instructor supplement, Restricted accessAnchor equations problems - Oscillations
Homework, Instructor supplement, Restricted accessAnchor equations problems - Waves
Homework, Instructor supplement, Restricted accessAnchor equations problems - Light
Homework, Instructor supplement, Restricted accessUsing math in physics - Functional dependence
Instructor supplement, Restricted access, Homework, Student reading, In-class activity, Lecture materials, Exam problemAn introduction to functional dependence with readings, problems, and examples throughout the curriculum
Evolution, Physical Mechanisms, Intracellular Components, Cellular Structure, Surface Area/volume, Synapse Structure/Function, Signaling Molecules, Medical Applications, Cardiovascular System
Electrostatics, Color, Oscillations, Force of Surface Tension, Capillary Action, Flow Rate, Hagen-Poiseuille Equation, Viscosity, Transverse Pulses and Waves, Wave Packets, Diffusion, Coulomb's Law, Electric Field, Thin Lens, Equation of Continuity
Functional dependence - Introduction
Instructor supplement, HomeworkFunctional dependence - Student readings
Student readingFunctional dependence - Classroom activities
In-class activity, Lecture materialsFunctional dependence - Problems with solutions
Homework, Restricted access, Instructor supplementA collection of 78 problems throughout the class that are best done by focusing on functional dependence
Evolution, Physical Mechanisms, Intracellular Components, Cellular Structure, Surface Area/volume, Synapse Structure/Function, Signaling Molecules, Medical Applications, Cardiovascular System
Electrostatics, Color, Oscillations, Force of Surface Tension, Capillary Action, Flow Rate, Hagen-Poiseuille Equation, Viscosity, Transverse Pulses and Waves, Wave Packets, Diffusion, Coulomb's Law, Electric Field, Thin Lens, Equation of Continuity
Functional dependence problems - General
Homework, Restricted accessFunctional dependence problems - Models of force
Homework, Restricted access, Instructor supplementFunctional dependence problems - Coherent vs random motion
Homework, Instructor supplement, Restricted accessFunctional dependence problems - Solids
Homework, Restricted accessFunctional dependence problems - Fluids
Homework, Restricted access, Instructor supplementA collection of 13 problems concerning fluids that focus on functional dependence, many with biological or medical contexts.
Physical Mechanisms, Intracellular Components, Cellular Structure, Surface Area/volume, Medical Applications, Cardiovascular System
Force of Surface Tension, Capillary Action, Flow Rate, Hagen-Poiseuille Equation, Viscosity, Equation of Continuity
Functional dependence problems - Heat and temperature
Homework, Restricted accessFunctional dependence problems - Mechanical energy
Homework, Restricted access, Instructor supplementFunctional dependence problems - Chemical energy
Homework, Instructor supplement, Restricted accessFunctional dependence problems - Thermodynamics and statistical physics
Homework, Restricted access, Instructor supplementFunctional dependence problems - Electricity
Homework, Instructor supplement, Restricted accessFunctional dependence problems - Oscillations
Homework, Instructor supplement, Restricted accessFunctional dependence problems - Waves
Homework, Instructor supplement, Restricted accessFunctional dependence problems - Light
Homework, Instructor supplement, Restricted accessFunctional dependence - Quiz & exam problems
Exam problem, Restricted accessUsing math in physics - Toy models
Instructor supplement, Restricted access, Student reading, Homework, In-class activityA set of readings and problems on the use of simplified (toy) models in physics.
Evolution, Causal Mechanisms, The Cell, Matter/energy Transfer & Transforms, Neural Info: Processing & Transport
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Toy models - Introduction and overview
Instructor supplement, Restricted accessA set of readings and problems on the use of simplified (toy) models in physics.
Evolution, Causal Mechanisms, The Cell, Matter/energy Transfer & Transforms, Neural Info: Processing & Transport
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Toy models - Student readings
Student readingToy models - Problems
Homework, Restricted access, Instructor supplement, In-class activityA collection of 110 problems appropriate for homework emphasizing modeling cutting across many topics.
Animal Adaptations, Healthy Neural Function, Photosynthesis, Bioenergetics
Motion in One Dimension, Motion in Two Dimensions, Newton's Second Law, Applications of Newton's Laws, Work and Energy, Electrostatics, Electric Fields and Potential, Capacitance, Resistance, DC Circuits, Surface Tension, Oscillations, Wave Motion, Ensembles, Kinetic and Diffusive Processes, Flow Rate, Hagen-Poiseuille Equation, Temperature, Entropy, Second Law Formulations, Thermodynamic Potentials, Reflection - Flat Surfaces, Thin Lens, Synthesis and Analysis of Color, Probability Density, Equation of Continuity
Toy models problems - Newton's laws
Homework, Restricted accessToy models problems - Models of forces
Homework, Restricted access, Instructor supplementToy models problems - Coherent vs random motion
Homework, Restricted access, Instructor supplementToy models problems - Solids
Homework, Restricted accessToy models problems - Fluids
Homework, Restricted access, Instructor supplementToy models problems - Heat and temperature
Homework, Restricted access, Instructor supplementToy models problems - Mechanical energy
Homework, Restricted access, Instructor supplementToy models problems - Chemical energy
Homework, Restricted access, Instructor supplementToy models problems - Thermo and stat mech
Homework, Instructor supplement, Restricted accessA set of 23 problems appropriate for homework emphasizing modeling in helping to understanding the statistical approach to thermodynamics.
Bioenergetics
Ensembles, Kinetic and Diffusive Processes, Temperature, Entropy, Second Law Formulations, Thermodynamic Potentials, Probability Density
Toy models problems - Electricity
Homework, Instructor supplement, Restricted accessToy models problems - Oscillations
Homework, Restricted access, Instructor supplementToy models problems - Waves
Homework, Instructor supplement, Restricted accessToy models problems - Light
Homework, In-class activity, Instructor supplement, Restricted accessUsing math in physics - Estimation
Instructor supplement, Pedagogical essay, Student reading, Pre-class assignment, Homework, Lecture materials, In-class activity, Restricted accessAn introduction to estimation with estimation problems for homework and exams throughout the course.
Human and Animal Physiology, Biomechanics, Molecular and Cellular Biology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics, Diffusion
Estimation - Introduction
Pedagogical essay, Instructor supplementEstimation - Student Readings
Student reading, Pre-class assignment, HomeworkEstimation Class slides
Lecture materials, In-class activityEstimation - Classroom activities
In-class activityTwo classroom activities useful for introducing estimation
Human and Animal Physiology
None
Measuring myself
In-class activityGroup activity for estimation
In-class activityEstimation Problems with solutions
Homework, Restricted access, Instructor supplementA set of 108 estimation problems appropriate for homework with sample solutions.
Human and Animal Physiology, Biomechanics, Molecular and Cellular Biology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Estimation Problems - Everyday experiences
Homework, Restricted accessEstimation problems - Environment and ecology
Homework, Restricted accessA set of estimation problems appropriate for homework with sample solutions that focus on the environment and ecology.
Human and Animal Physiology, Biomechanics, Molecular and Cellular Biology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Estimation problems - Cellular and molecular biology
Homework, Restricted access, Instructor supplementA set of 13 estimation problems appropriate for homework with sample solutions that focus on applications in cellular and molecular biology
Human and Animal Physiology, Biomechanics, Molecular and Cellular Biology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism
Estimation problems - Medicine and physiology
Homework, Restricted access, Instructor supplementA set of 16 estimation problems appropriate for homework with sample solutions that focus on medical applications and physiology
Human and Animal Physiology, Biomechanics
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Estimation problems - By physics topic
Homework, Restricted access, Instructor supplementA set of estimation problems appropriate for homework with sample solutions that focus on specific topics in physics.
Human and Animal Physiology, Biomechanics, Molecular and Cellular Biology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Estimation Problems - Kinematics
Homework, Restricted accessEstimation Problems - Newtonian dynamics
Homework, Restricted accessEstimation Problems - Models of force
Homework, Restricted accessEstimation Problems - Coherent vs random motion
Homework, Restricted accessEstimation Problems - Solids
Homework, Restricted accessEstimation Problems - Fluids
Homework, Restricted accessEstimation Problems - Mechanical energy
Homework, Restricted accessEstimation Problems - Chemical energy
Homework, Restricted accessEstimation Problems - Heat and temperature
Homework, Restricted accessEstimation Problems - Thermodynamics and statistical physics
Homework, Restricted accessEstimation Problems - Electricity
Homework, Instructor supplement, Restricted accessEstimation Problems - Oscillations
Homework, Restricted access, Instructor supplementEstimation Problems - Waves
Homework, Instructor supplement, Restricted accessEstimation Problems - Light
Homework, Restricted access, Instructor supplementEstimation Exam Problems
Instructor supplement, Restricted accessUsing math in physics - Reading the physics in a graph
Instructor supplement, Restricted access, Student reading, In-class activity, Homework, Exam problema module to help students build physical intuition by learning to read the physics in graphs
Animal Biomechanics, Cellular Structure, Healthy Cardiovascular Function, Healthy Neural Function, Cellular Structure
Motion in One Dimension, Motion in Two Dimensions, Newton's Second Law, Newton's Third Law, Applications of Newton's Laws, Work and Energy, Linear Momentum, Electric Fields and Potential, Capacitance, DC Circuits, Oscillations, Probability, Transverse Pulses and Waves, Standing Waves, Wave Packets, Interference and Diffraction, Interference From Two Sources
Reading the physics in a graph - Introduction
Instructor supplement, Restricted accessReading the physics in a graph - Student readings
Student readingReading the physics in a graph - Classroom activities
In-class activityReading the physics in a graph - Problems with solution
Homework, Restricted access, Instructor supplement, In-class activityA collection of homework problems with solutions from across the curriculum that require students to interpret graphs physically
Animal Biomechanics, Cellular Structure, Healthy Cardiovascular Function, Healthy Neural Function, Cellular Structure
Motion in One Dimension, Motion in Two Dimensions, Newton's Second Law, Newton's Third Law, Applications of Newton's Laws, Work and Energy, Linear Momentum, Electric Fields and Potential, Capacitance, DC Circuits, Oscillations, Probability, Transverse Pulses and Waves, Standing Waves, Wave Packets, Interference and Diffraction, Interference From Two Sources
Reading the physics in a graph problems - Kinematics
Homework, Restricted access, Instructor supplementReading the physics in a graph problems - Newton's laws
Homework, Restricted access, Instructor supplementReading the physics in a graph problems - Models of forces
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Coherent vs random motion
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Fluids
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Mechanical energy
Homework, Instructor supplement, Restricted accessA collection of homework problems with solutions about mechanical energy that require students to interpret graphs physically
None
Motion in One Dimension, Motion in Two Dimensions, Newton's Second Law, Newton's Third Law, Applications of Newton's Laws, Work and Energy, Linear Momentum
Reading the physics in a graph problems - Chemical energy
Homework, Instructor supplement, Restricted accessA collection of homework problems concerning chemical bonding and energies that require students to interpret graphs physically
Matter/energy Transfer & Transforms, Photosynthesis
Motion in One Dimension, Newton's Second Law, Work and Energy, Electric Fields and Potential, Probability
Reading the physics in a graph problems - Thermodynamics and statistical physics
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Electric fields, potentials & currents
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Oscillations
Homework, Instructor supplement, Restricted access, In-class activityReading the physics in a graphs problems - Waves
Homework, Instructor supplement, Restricted accessReading the physics in a graph problems - Light
Homework, Instructor supplement, Restricted accessReading the physics in a graph - Quiz and exam problems
Exam problem, Restricted accessexam problems to help students build physical intuition by learning to read the physics in graphs
Animal Biomechanics, Cellular Structure, Healthy Cardiovascular Function, Healthy Neural Function, Cellular Structure
Motion in One Dimension, Motion in Two Dimensions, Newton's Second Law, Newton's Third Law, Applications of Newton's Laws, Work and Energy, Linear Momentum, Electric Fields and Potential, Capacitance, DC Circuits, Oscillations, Probability, Transverse Pulses and Waves, Standing Waves, Wave Packets, Interference and Diffraction, Interference From Two Sources
Using mathematics in science
Student reading, Homework, Exam problemSpecific tools and activities that can help students build math-in-science skills
Molecular and Cellular Biology, Human and Animal Physiology
Classical Mechanics, Fluid Mechanics, Oscillations & Waves, Thermo & Stat Mech, Electricity & Magnetism, Optics
Math in Science - Readings
Student readingMath in Science - Triplet Problems
HomeworkMath in Science - Quiz and Exam Questions
Exam problemMath in Science - Homework problems
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