Maths Boot Camp

18 May 2019
9.30 am-2.30 pm
Charles Carter, A015

FREE LUNCH will be provided

Programme

9.30 – 9.45  Registration, Refreshments

9.45 – 10.00  Opening remarks

10.00 – 12.00  Morning workshops

Workshop 1: Calculus –  Differentiation

    • Rules of differentiation
    • Maximum and minimum of a function

Workshop 2: Probability (Part 1) – Introduction to Probability

    • Probability definitions and basic calculations
    • Conditional probabilities and independence
    • Expectation, variance and standard deviation for discrete random variables

12.00 – 12.30 Lunch Break (FREE lunch will be provided)

12.30 – 14.30  Afternoon workshops

Workshop 3: Calculus – Integration

    • Rules of integration
    • Integration by parts
    • Integration by substitution

Workshop 4: Probability (Part 2) – Probability Distributions

    • Binomial, Poisson and Normal distributions
    • Probability mass functions, probability density functions and cumulative distribution functions
    • Expectations, variances and standard deviations

To book, please following the links:

Workshops 1&3: Calculus (FST, FHM, FASS students) – https://lancaster-uk.libcal.com/event/3387960

Workshops 1&3: Calculus (LUMS students) – https://lancaster-uk.libcal.com/event/3387805

Workshops 2&4: Probability (FST, FHM, FASS students) – https://lancaster-uk.libcal.com/event/3387961

Workshops 2&4: Probability (LUMS students) – https://lancaster-uk.libcal.com/event/3387807

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Specialist Workshops

Workshop 5: Statistics for LUMS students (FULLY BOOKED)

10.00 – 12.00  Morning Session – Hypothesis testing 

    • one-sided tests
    • two-sided tests
    • z-test
    • t-stat

12.30 – 14.30  Afternoon Session – Regression Analysis  

    • Correlation
    • Simple Linear Regression

Workshop 6: Calculus on Curves and Surfaces (for maths students) – ALL DAY EVENT

In this workshop (Part 1 and Part 2), we will cover theory of curves and surfaces. In both cases, our main goal is to describe the main tools of the theory of differentiation (Frenet frame, gradient field, implicit function theorem) and work on applications.

Workshop 7: MATHS Revision for Engineers

10.00 – 12.00  Morning Session – MATH140  Revision (Part 1)

    • Complex numbers,
    • Limits and continuity

12.30 – 14.30  Afternoon Session – MATH140  Revision (Part 2)

    • Periodic functions, the Fourier Series (some examples)
    • Eigenvalues and eigenvectors,
    • Ordinal differential equations.

Workshop 8: Vector Calculus (for physics students)

10.00 – 12.00  Morning Session – Vector Calculus (Part 1)

    • Scalar and vector fields, dot product, cross product, differentiation of vectors, space curves, arc length;
    • Surface and surface area, volume, chain rule, normals and tangent planes. Sketching 2D curves and 3D surfaces;
    • Gradient, divergence and curl. Applications to particular problems.

12.30 – 14.30  Afternoon Session – Vector Calculus (Part 2)

    • Curvilinear coordinate systems, bases for vector fields;
    • Line (path) integrals and surface integrals. Stokes’ theorem. Volume integrals and Gauss divergence theorem;
    • Connectivity, conservative fields and scalar potentials.

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To book, please following the links:

Workshop 5: Statistics (for LUMS students) – https://lancaster-uk.libcal.com/event/3387806
(FULLY BOOKED, the waiting list is open)

Workshop 6: Calculus on Curves and Surfaces (for maths students)  – https://lancaster-uk.libcal.com/event/3387972

Workshop 7: MATHS Revision for engineers – https://lancaster-uk.libcal.com/event/3387971

Workshop 8: Vector Calculus (for physics students) – https://lancaster-uk.libcal.com/event/3387963
(FULLY BOOKED, the waiting list is open)

The students who are interested in attending only the afternoon workshops are invited for lunch at 12 pm.

We look forward to seeing you there.
Maths Learning Development Team