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Main
UQU Programs
Mathematics

Applied calculus

MTH3105
3 hours English

Applied calculus

Applied Calculus
MTH1102 Calculus 2
3 hours One requisite
1 Applications of the derivative: / Related rates / Maxima and Minima, / Monotonicity and concavity, / Local extrema and extrema on open intervals, / Practical problems, / Graphing functions using calculus
2 Particle Kinematics: / Displacement, velocity, and acceleration with applications: / One-dimensional motion, / Free-falling objects, / motion in two-dimensions with constant acceleration, / projectile motion, / planar motion in polar coordinates and uniform circular motion. / Relative velocity
3 Newton’s laws of motion: / Newton’s laws and some particular forces, / Applying Newton’s laws (rectilinear motion)
4 Particle motion under gravity in a resisting medium
5 Work and energy
6 Center of mass
1.1 Mapped to: K1

Have knowledge and understanding on the extrema of a function and on the various concepts of particle motion.

Teaching Strategy Lectures, exercises
Assessment Methods Homework, Midterm and final Exams.
1.2 Mapped to: K2

Recognize laws of forces, momentum, work, and energy.

Teaching Strategy Lectures, self-learning
Assessment Methods Homework, Midterm and final Exams.
2.1 Mapped to: S1

Compute the extrema of a function.

Teaching Strategy Lectures, exercises
Assessment Methods Homework, Midterm and final Exams.
2.2 Mapped to: S4, S6

Convert a physical problem related to forces, work, and energy into mathematical models and then solve them.

Teaching Strategy Lectures, exercises
Assessment Methods Homework, Midterm and final Exams.
2.3 Mapped to: S5, S6

Solve scientific problems related to the motion of particles

Teaching Strategy Lectures, project report
Assessment Methods Homework, Midterm and final Exams.
2.4 Mapped to: S7

Explain the laws of force, work, energy, and motion and be fluent in their use in more advanced mathematics involving these topics.

Teaching Strategy Lectures, exercises
Assessment Methods Homework, Midterm and final Exams.
3.1 Mapped to: V1

Develop self-learning and work independently to solve mathematical exercises.

Teaching Strategy Lectures, exercises
Assessment Methods Homework and assignments.
3.2 Mapped to: V2

Collaborate with the classmates to solve more advanced mathematical problems involving the topics learnt throughout this course.

Teaching Strategy Lectures, project report
Assessment Methods Homework and assignments.
Assessment
Weight
Midterm exam
30%
Homework and assignments
20%
Final Exam
50%
Total
100%