This is a calculus based introductory course in two-dimensional mechanics (linear and rotational), conservation of energy and momentum, vibrations, and waves, and thermodynamics.
Hours: 105 (Lecture Hours 3; Seminars and Tutorials 1; Laboratory Hours 3)
Total Weeks: 15
MATH 101 Calculus
- Measurements and the international system of units of length, time and mass
- Motion along a straight line, average and instantaneous speed and velocity, constant acceleration, free fall
- Vectors and scalars, addition and product of vectors
- Motion in 2 and 3-dimension, projectile, uniform circular motion, centripetal acceleration, relative motion
- Newton's Laws and their applications, mass and weight, free-body-diagrams
- Work and energy, kinetic and potential energies, work-energy theorem, conservative forces, conservation of energy
-Systems of particles, collision, linear momentum and its conservation, elastic and inelastic collisions
- Rotation, torque, angular momentum, rotational kinetic energy, equilibrium and torque, conservation of angular momentum
- Newton's law of gravitation, gravitational potential energy, satellites
- Oscillations and sound waves, simple harmonic motion, period, phase, Hooke's law, pendulum, resonance, standing waves, - interference, Doppler effects
- Fluids and Archimedes' principle
- Temperature and heat, temperature scales, thermal expansion, specific heat, laws of thermodynamics, conduction, convection, - radiation
- Kinetic theory of gases
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.
Grading System: Letters
Passing Grade: D (50%)
Percentage of Individual Work:
Percentage of Group Work: 20
Textbooks are subject to change. Please contact the bookstore at your local campus for current book lists.