Principles of Physics
ePrep Course for
University Preparation

textbook used in principles of physics eprep course
Principles of Physics ePrep Course is one of the ten specially developed ePrep (or e-PREP) courses to help NSF, NSmen, and others to better prepare themselves for university studies, in any of the universities in Singapore or overseas. Physics is the fundamental of engineering and physical science studies and yet many students, especially those without A-level physics, do not have a strong foundation in physics leading to great problems!
The course is based on the popular textbook, Principles of Physics by Serway and Jewett, and this textbook comes free with the course, together with excellent learning materials provided by the publishers, Cengage.
In addition, lots of materials on other subjects are also made available so that students not only get to build up their knowledge on physics; they also get to strengthen their knowledge on many other subjects such as biotechnology, life science, calculus, statistics and other branches of mathematics, business finance, corporate finance, engineering economy, engineering ethics, economics, Python programming, discrete mathematics, etc.  Samples of materials provided are given below.
A retired NTU professor is also available for consultations.  He can be reached via email or WhatsApp messaging. Please note that this Principles of Physics university prep course is very different from the other physics university prep course also by NTU. Please read below for details for this university prep course on physics.

Principles of Physics ePrep Course 

Learning Contents
I. Compulsory Chapters

1 Introduction and Vectors

1.1 Standards of Length, Mass, and Time
1.2 Dimensional Analysis
1.3 Conversion of Units
1.4 Order-of-Magnitude Calculations
1.5 Significant Figures
1.6 Coordinate Systems
1.7 Vectors and Scalars
1.8 Some Properties of Vectors
1.9 Components of a Vector and Unit Vectors
1.10 Modeling, Alternative Representations, and Problem-Solving Strategy

2 Motion in One Dimension

2.1 Average Velocity
2.2 Instantaneous Velocity
2.3 Analysis Model: Particle Under Constant Velocity
2.4 Acceleration
2.5 Motion Diagrams
2.6 Analysis Model: Particle Under Constant Acceleration
2.7 Freely Falling Objects
2.8 Context Connection: Acceleration Required by Consumers

3 Motion in Two Dimensions

3.1 The Position, Velocity, and Acceleration Vectors
3.2 Two-Dimensional Motion with Constant Acceleration
3.3 Projectile Motion
3.4 Analysis Model: Particle in Uniform Circular Motion
3.5 Tangential and Radial Acceleration
3.6 Relative Velocity and Relative Acceleration
3.7 Context Connection: Lateral Acceleration of Automobiles

4 The Laws of Motion

4.1 The Concept of Force
4.2 Newton’s First Law
4.3 Mass
4.4 Newton’s Second Law
4.5 The Gravitational Force and Weight
4.6 Newton’s Third Law
4.7 Analysis Models Using Newton’s Second Law
4.8 Context Connection: Forces on Automobiles

5 More Applications of Newton’s Laws

5.1 Forces of Friction
5.2 Extending the Particle Uniform Circular Motion Model
5.3 Nonuniform Circular Motion
5.4 Motion in the Presence of Velocity-Dependent Resistive Forces
5.5 The Fundamental Forces of Nature
5.6 Context Connection: Drag Coefficients of Automobiles

6 Energy of a System

6.1 Systems and Environments
6.2 Work Done by a Constant Force
6.3 The Scalar Product of Two Vectors
6.4 Work Done by a Varying Force
6.5 Kinetic Energy and the Work-Kinetic Energy Theorem
6.6 Potential Energy of a System
6.7 Conservative and Nonconservative Forces
6.8 Relationship Between Conservative Forces and Potential Energy
6.9 Potential Energy for Gravitational and Electric Forces
6.10 Energy Diagrams and Equilibrium of a System
6.11 Context Connection: Potential Energy in Fuels

7 Conservation of Energy

7.1 Analysis Model: Nonisolated System (Energy)
7.2 Analysis Model: Isolated System (Energy)
7.3 Analysis Model: Nonisolated System in Steady State (Energy)
7.4 Situations Involving Kinetic Friction
7.5 Changes in Mechanical Energy for Nonconservative Forces
7.6 Power
7.7 Context Connection: Horsepower Ratings of Automobiles

8 Momentum and Collisions

8.1 Linear Momentum
8.2 Analysis Model: Isolated System (Momentum)
8.3 Analysis Model: Nonisolated System (Momentum)
8.4 Collisions in One Dimension
8.5 Collisions in Two Dimensions
8.6 The Center of Mass
8.7 Motion of a System of Particles
8.8 Context Connection: Rocket Propulsion

9 Relativity

9.1 The Principle of Galilean Relativity
9.2 The Michelson-Morley Experiment
9.3 Einstein’s Principle of Relativity
9.4 Consequences of Special Relativity
9.5 The Lorentz Transformation Equations
9.6 Relativistic Momentum and the Relativistic Form of Newton’s Laws
9.7 Relativistic Energy
9.8 Mass and Energy
9.9 General Relativity
9.10 Context Connection: From Mars to the Stars

10 Rotational Motion

10.1 Angular Position, Speed, and Acceleration
10.2 Analysis Model: Rigid Object Under Constant Angular Acceleration
10.3 Relations Between Rotational and Translational Quantities
10.4 Rotational Kinetic Energy
10.5 Torque and the Vector Product
10.6 Analysis Model: Rigid Object in Equilibrium
10.7 Analysis Model: Rigid Object Under a Net Torque
10.8 Energy Considerations in Rotational Motion
10.9 Analysis Model: Nonisolated System (Angular Momentum)
10.10 Analysis Model: Isolated System (Angular Momentum)
10.11 Precessional Motion of Gyroscopes
10.12 Rolling Motion of Rigid Objects
10.13 Context Connection: Turning the Spacecraft

II. Optional Chapters (Learning Materials are Provided Too)
  • Gravity, Planetary Orbits, and the Hydrogen Atom.
  • Oscillatory Motion.
  • Mechanical Waves.
  • Superposition and Standing Waves.
  • Fluid Mechanics.
  • Temperature and the Kinetic Theory of Gases.
  • Energy in Thermal Processes: The First Law of Thermodynamics.
  • Heat Engines, Entropy, and the Second Law of
  • Thermodynamics.
  • Electric Forces and Electric Fields.
  • …. See Topic Details

Principles of Physics ePrep Course

What You Get
I. Free Textbook
“Principles of Physics: A Calculus-Based Text” authored by RA Serway and JW Jewett Jr, 5th Ed., is one of the most popular textbooks on Physics at the university level. This book is designed for a one-year introductory calculus-based physics course for engineering and science students. This textbook is therefore best suited for this Principles of Physics ePrep course. Also, please note that A-level physics is not calculus-based and this physics course is at a higher level than A-level physics..
II. Free Consultation
As some physics concepts can be difficult to comprehend, in addition to providing good learning materials such as video lessons, a retired NTU professor is acting as the tutor.  A retired professor has a lot more time for you than a full-time professor. You can consult him via email or WhatsApp.
III. Materials at e-Prep Course Site
1   Notes, video lessons and PowerPoint files.
2   Answers/solutions to all questions/problems in the textbook.
3   Online exercises.
4   Bonus learning materials in mathematics, including calculus, algebra, geometry,  trigonometry, probability and statistics, as well as on other subjects such as business finance, corporate finance, engineering economy, economics, biotechnology, life science, business and engineering ethics, and psychology.
IV. Digital Certificate
A digital certificate will be issued if you have successfully completed the Principles of Physics e-Prep course and passing all the tests at the end of each of the ten compulsory chapters.

Principles of Physics ePrep Course 

Samples of Course Materials

1. Video Lesson (Kinematics)
2. Problem Solving (Forces) 

Question: An adventurous archaeologist (m=85.0 kg) tries to cross a river by swinging from a vine.  The vine is 10.0 m long, and his speed at the bottom of the swing is 8.00 m/s. The archaeologist doesn’t know that the vine has a breaking strength of 1,000 N. Does he make it across the river without falling in? 

solution in principles of physics eprep course
3. Objective Question (Conservation of Energy)


A ball of clay falls freely to the hard floor.  It does not bounce noticeably, and it very quickly comes to rest.  What, then, has happened to the energy the ball had while it was falling?

(a) It has been used up in producing the downward motion.

(b) It has been transformed back into potential energy.

(c) It has been transferred into the ball by heat.

(d) It is in the ball and floor (and wall) as the energy of invisible molecular motion.

(e) Most of it went into sound.

Answer: (d).

The energy is internal energy.  Energy is never “used up.” The ball finally has no elevation and no compression, so the ball-Earth system has no potential energy. There is no stove, so no energy is put in by heat. The amount of energy transferred away by sound is minuscule.

Samples of Bonus Materials

1. Business Finance (Net Working Capital and Net Operating Working Capital)

2. Video Lesson on Corporate Finance (Long-Term Financing and Short-Term Financing Fluctuation)
3. Cross-Word Puzzle on Biotechnology (Animal Reproduction)
4. Worked Example on Engineering Economy (Cost Estimation Technique)


An electric power distributor charges residential customers $0.10 per kilowatt-hour (kWh). The company advertises that “green power” is available in 150 kWh blocks for an additional $4 per month. (Green power is generated from solar, wind power, and methane sources.)

a. If a certain customer uses an average of 400 kWh per month and commits to one monthly 150 kWh block of green power, what is her annual power bill?

b. What is the average cost per kWh with green power during the year?

c. Why does green power cost more than conventional power?

Answer. (a)

Standard electric bill = (400 kWhr)(12 months/year)($0.10/kWhr) = $480 per year.

Green power bill = (12 months/year)($4/month) = $48 per year. Total electric bill = $528 per year.

(b) $528 / 4,800 kWhr = $0.11 per kWhr (a 10% increase due to green power usage)

(c) The technology used to capture energy from solar, wind power and methane is more expensive than traditional power generation methods (coal, natural gas, and so on).

5. Web Exercise on Psychology (Theories of Motivation)


Annie has just finished watching a movie about cement mixing that she thought was long and boring. According to the arousal theory of motivation, Annie will most likely ________ next.

(a)   do something exciting

(b)   read about cement mixing

(c)   go to sleep

Answer: (a)

6. Video Lesson on Life Science (When Lactose Is Present/Absent)
9. Problem and Solution on Calculus (Volume of Solid)


Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curve 

y2 – 6y + x = 0, x=0

about the x-axis.


solution in principles of physics eprep course
10. Python Programming (Quick Sort)


from random import randint

def quicksort(array):
    if len(array) < 2: 
        return array
    low, same, high = [], [], []
    pivot = array[randint(0, len(array) – 1)] #random `pivot` element 

    for item in array:
        if item < pivot:
        elif item == pivot:
        elif item > pivot:
    print(“low = “, low, “same = “, same, “high = “, high)
    return quicksort(low) + same + quicksort(high) #recursive call

oArray = [2, 8, 9, 4, 26, 82, 56, 43]
print(“Original array”, oArray)
nArray = quicksort(oArray)
print(“Sorted array”, nArray)

Original array [2, 8, 9, 4, 26, 82, 56, 43]
low =  [2] same =  [4] high =  [8, 9, 26, 82, 56, 43]
low =  [8, 9, 26, 43] same =  [56] high =  [82]
low =  [8, 9] same =  [26] high =  [43]
low =  [8] same =  [9] high =  []

Sorted array [2, 4, 8, 9, 26, 43, 56, 82]

Python Quicksort Steps

11. Economics (How a Lower Price Raises Consumer Surplus)

consumer surplus

As price falls, consumer surplus increases for two reasons.

  • Those already buying the product will receive additional consumer surplus because they are paying less for the product than before (area BCDE on graph (b)).
  • Since the price is now lower, some new buyers will enter the market and receive consumer surplus on these additional units of output purchased (area CEF on graph (b)).

12. Discrete Mathematics (Solving Logic Circuit Problem)


Discrete Mathematics - Solving Logic Circuit Problems


Discrete Mathematics - Logic Circuit Solution


These are some samples of the bonus materials on other subjects and they illustrate how comprehensive and broad-base this Physics e_Prep course is for preparing students for their university studies or for their careers. While not all the bonus course materials may be of interest to the students who take up this ePrep course on Physics, they can choose which of these bonus course materials are of interest to them and ignore the rest. 

Remember not to short-change yourself – do not go for any of those low-grade courses prepared by any “Tom-Dick-And-Harry” who self-claim to be an content expert, especially if you are preparing for further academic studies or career advancement!  You do not need thousands of such courses.  As you can see, with this single Physics course, you have a good suite of materials on many other subjects as well.  You also get a hard copy of the Principles of Physics textbook.
Go only for a high-quality specially-designed academic course such as this “Principles of Physics” e_prep course for getting you a head start in university, or in your career.
Note also the huge difference between this “Principles of Physics” course and the other physics courses offered by NTU!

Who should take this University Preparation course on Physics?

  • It is a must for all students doing science and engineering degrees, especially for those without A level Physics.
  • Even for those not going to any university due to various reasons, this is an opportunity to prove that they are capable of completing a university-level course.
  • Everyone is welcome and there is no pre-requisite.

Response to this Physics Course

The take-up rate is not as good as it should be. This is due to another cheaper physics course offered by NTU PaCE.  But, please note the following features in this Principles of Physics ePrep course but not in the other cheaper physics ePrep course:

  1. Comes with a Free Hard Copy Textbook for all registered e-Prep students together with
    • Professionally Produced Animations/Videos/Illustrations by Book Authors and Publishers
    • Answers /Solutions to all Questions/Problems in Textbook and Additional Question/Problems not in Textbook
    • Other Useful eLearning Materials in Various Forms Provided by Book Publishers
  2. All Learning Materials are from Authors and Book Publishers with a retired NTU Professor Acting as Tutor
  3. Provide Comprehensive Learning Materials, in various forms, using Different Approaches, for Rigorous Studies
  4. Contain Very Useful Bonus Materials on Various Other Subjects as well, in addition to physics
  5. Exercises and Test Questions are Randomly Generated from Large Question Pools. Useful Feedbacks are Provided after Attempts.

How to Sign Up?

1 NSF and NSMen
Please sign up via NS Portal in order to use the NS e-PREP credit to subsidize the course. Go to “Access ePREP” and then search under NTU as the course provider. Among the e-PREP courses by NTU listed, select “Principles of Physics”. Remember it is “Principles of Physics” and not the other physics course which does not have the features specified on this page.  Please note that since the course fee is $385, but the maximum NS e-PREP Credits is $350, after registration for the course you will have to pay $35. For advice on payment matters, please contact the MINDEF ePrep administrator at Tel No: (+65) 63731221,  or eMail:​ 
2 Non-NS folks
Please sign up with NTU PaCE directly.  The course fee is S$385, inclusive of the textbook. For those residing outside Singapore, you may have to pay for the postage for the textbook.

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