This is a calculus based introductory course in two-dimensional mechanics (linear and rotational), conservation of energy and momentum, vibrations, and waves, and thermodynamics.
Date First Offered:
Total Hours: 105
Lecture Hours: 45
Seminars and Tutorials: 15
Laboratory Hours: 45
This course is offered online:
MATH 101 Calculus
- Measurements and the international system of units of length, time and mass (Chapter 1).
- Motion along a straight line, average and instantaneous speed and velocity, constant acceleration, free fall (Chapter 2).
- Vectors and scalars, addition and product of vectors (Chapter 3).
- Motion in 2 and 3-dimension, projectile, uniform circular motion, centripetal acceleration, relative motion (Chapter 4).
- Newton's Laws and their applications, mass and weight, free-body-diagrams (Chapters 5 and 6).
- Work and energy, kinetic and potential energies, work-energy theorem, conservative forces, conservation of energy
(Chapters 7 and 8)
-Systems of particles, collision, linear momentum and its conservation, elastic and inelastic collisions (Chapter 9).
- Rotation, torque, angular momentum, rotational kinetic energy, equilibrium and torque, conservation of angular momentum (Chapters 10, 11, and 12).
- Newton's law of gravitation, gravitational potential energy, satellites (Chapter 13).
- Oscillations and sound waves, simple harmonic motion, period, phase, Hooke's law, pendulum, resonance, standing waves, - interference, Doppler effects (Chapters 15, 16, and 17).
- Fluids and Archimedes' principle (Chapter 14).
- Temperature and heat, temperature scales, thermal expansion, specific heat, laws of thermodynamics, conduction, convection, - radiation (Chapter 18).
- Kinetic theory of gases (Chapter 19).
Upon successful completion of this course students will be able to:
- Do dimensional analysis and unit conversions.
- Solve motion problems and draw motion graphs in constant acceleration, including free fall.
- Add, subtract, multiply vectors using different techniques such as graphic, component, and unit vector approaches.
- Solve two/three dimensional motions by separating them into one-dimensional motions including projectile motion.
- Apply Newton's laws of motion to kinematics and dynamics of different point mass systems by using proper free body diagrams.
- Calculate work of different forces including frictional force, gravitational force, and spring force using algebra and calculus.
- Calculate potential and kinetic energies of different conservative and non-conservative systems.
- Apply momentum and energy conservation rules to find velocities/directions of two (or more) colliding bodies.
- Calculate torque of forces and apply Newton's law for rotation to derive angular position, speed, acceleration, and equations of motion.
- Apply conservation of angular momentum to extended objects to determine the outcome of a rigid rotating system.
- Apply Newton's 2nd law for a spring force and derive the equation of harmonic oscillation, including simple pendulum.
- Set a wave equation and solve it to find frequency, wavelength, period, wave speed and their relationship.
- To combine two waves mathematically to find the outcome such as interference, standing wave, resonance and beats.
Final Exam: 30 %
Midterm Exam: 30 %
Quizzes and Tests: 25 %
Lab Work: 15 %
Percentage of Individual Work:
Percentage of Group Work:
Course Offered in Other Programs: